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Wednesday, 30 April 2014

JEE (Advanced) 2014 : <b>Study Tips</b> For <b>Mathematics</b> | MATHEMATICIA


JEE (Advanced) 2014 : <b>Study Tips</b> For <b>Mathematics</b> | MATHEMATICIA

Posted: 09 Apr 2014 09:00 AM PDT

bnr

With JEE (Advanced) 2014 just over a month away, it is time engineering aspirants pep-up their preparations for the exam.

The JEE (Advanced) question paper consists of questions from: Mathematics, Chemistry and Physics.

Students may find Mathematics a little overwhelming while preparing for the exam. Here are a few helpful tips for students which will them master the subject.

Paper pattern :

The exam consists of two objective type (MCQ) question papers, designed to test comprehension, reasoning and analytical ability of candidates. Both the papers will be held for a duration of three hours and are made of three separate sections on Chemistry, Physics and Mathematics.

Candidates can answer the questions in English or Hindi. Negative making is applicable for every wrong answer.

Mathematics syllabus :

Algebra -

Quadratic Equations and Expressions, Complex Numbers, Probability, Vectors and 3D Geometry, Matrices

Coordinate Geometry -

Circle, Parabola, Hyperbola

Calculus -

Functions, Limits, Continuity and Differentiability, Application of Derivatives, Definite Integral

Tips :

If we analyse the previous year JEE papers, they suggest that the candidates should pay more attention to Vectors and 3-D than Probability or Indefinite integration as vectors and 3-D offers very less scope to examiner, as far as variety in problem is concerned. Each year 2-3 questions are asked from Complex Number. Therefore mastering complex numbers, vectors, 3-D and Definite integral should be their top priority.

  • Students can make Algebra easier if they can harness the ability to picture functions as graphs and are good at applying vertical and horizontal origin shifts carefully as zeroes of functions and other specific values can be done in much less time using these techniques.
  • Differential calculus again relates well to roots of equations, especially if you use the Rolle's and Lagrange's theorems.
  • Students can use Complex numbers to solve questions in co- ordinate geometry too. Trigonometric questions require applications of De Moivre's theorem.
  • Permutation, Combination and Probability is another very important topic in algebra. Students have to be thorough with the basics of Bayes theorem, derangements and various ways of distribution, taking care of cases where objects are identical and when they are not.
  • Matrices can be related to equations, hence a 3×3 matrix can actually be visualized as being three-planed in 3D geometry. Determinants have some very nice properties, for instance, the ability to break them into two using a common summand from a row/ column, which should be made use of in tougher questions.
  • Integral calculus can be simplified using tricks and keeping in mind some basic varieties of integrable functions. Remembering the properties and applying them wisely saves lot of time.
  • Coordinate geometry requires a good working knowledge of the parametric forms of various conic sections and an ability to convert the other, tougher ones to these basic forms and then interpret the solutions accordingly.

The most important point to keep in mind is that Mathematics can only be mastered with regular practice. Hence the students should try and solve as many sample papers and problems as possible on a regular basis.

Tuesday, 29 April 2014

JEE (Advanced) 2014: <b>Study tips</b> for <b>Mathematics</b> | India Results and <b>...</b>


JEE (Advanced) 2014: <b>Study tips</b> for <b>Mathematics</b> | India Results and <b>...</b>

Posted: 15 Apr 2014 04:43 AM PDT

With JEE (Advanced) 2014 just over a month away, it is time engineering aspirants pep-up their preparations for the exam.

The JEE (Advanced) question paper consists of questions from: Mathematics, Chemistry and Physics.

Students may find Mathematics a little overwhelming while preparing for the exam. Here are a few helpful tips for students which will them master the subject. 

Paper pattern:

The exam consists of two objective type (MCQ) question papers, designed to test comprehension, reasoning and analytical ability of candidates. Both the papers will be held for a duration of three hours and are made of three separate sections on Chemistry, Physics and Mathematics.

Candidates can answer the questions in English or Hindi. Negative making is applicable for every wrong answer.

Mathematics syllabus:

Algebra:
Quadratic Equations and Expressions, Complex Numbers, Probability, Vectors and 3D Geometry, Matrices

Coordinate Geometry:
Circle, Parabola, Hyperbola

Calculus:
Functions, Limits, Continuity and Differentiability, Application of Derivatives, Definite Integral

Tips:

  • If we analyse the previous year JEE papers, they suggest that the candidates should pay more attention to Vectors and 3-D than Probability or Indefinite integration as vectors and 3-D offers very less scope to examiner, as far as variety in problem is concerned. Each year 2-3 questions are asked from Complex Number. Therefore mastering complex numbers, vectors, 3-D and Definite integral should be their top priority.
  • Students can make Algebra easier if they can harness the ability to picture functions as graphs and are good at applying vertical and horizontal origin shifts carefully as zeroes of functions and other specific values can be done in much less time using these techniques.
  • Differential calculus again relates well to roots of equations, especially if you use the Rolle's and Lagrange's theorems.
  • Students can use Complex numbers to solve questions in co- ordinate geometry too. Trigonometric questions require applications of De Moivre's theorem.
  • Permutation - Combination and Probability is another very important topic in algebra. Students have to be thorough with the basics of Bayes theorem, derangements and various ways of distribution, taking care of cases where objects are identical and when they are not.
  • Matrices can be related to equations, hence a 3x3 matrix can actually be visualized as being three-planed in 3D geometry. Determinants have some very nice properties, for instance, the ability to break them into two using a common summand from a row/ column, which should be made use of in tougher questions.
  •  Integral calculus can be simplified using tricks and keeping in mind some basic varieties of integrable functions. Remembering the properties and applying them wisely saves lot of time.
  • Coordinate geometry requires a good working knowledge of the parametric forms of various conic sections and an ability to convert the other, tougher ones to these basic forms and then interpret the solutions accordingly.
  • The most important point to keep in mind is that Mathematics can only be mastered with regular practice. Hence the students should try and solve as many sample papers and problems as possible on a regular basis.

JEE Advanced 2014 : <b>Study Tips</b> For Physics | MATHEMATICIA

Posted: 15 Apr 2014 10:21 AM PDT

jee 2014

Now that engineering aspirants are through with their JEE (Mains) 2014, it is time for them to buckle up for the next step, i.e. JEE (Advanced) 2014 . The exam is going to be held on May 25, 2014.

The JEE (Advanced) question paper consists of questions from: Mathematics, Chemistry and Physics.

Students may find Physics as a daunting subject and see fear clouding their mind before the exam. So, to help these students we have complied a few helpful tips for which will them prepare for the subject.

Paper pattern:

The exam consists of two objective type (MCQ) question papers, designed to test comprehension, reasoning and analytical ability of candidates. Both the papers will be held for a duration of three hours and are made of three separate sections on Chemistry, Physics and Mathematics.

Candidates can answer the questions in English or Hindi. Negative making is applicable for every wrong answer.

Physics syllabus:

Mechanics
Fluids
Heat and Thermodynamics
Waves and Sound
Capacitors and Electrostatics
Magnetics
Electromagnetic Induction
Optics and Modern Physics

Tips & Tricks :

1. Though not the most scoring, Mechanics is one topic which forms the major portion of the JEE (ADVANCED) in terms of marks. Hence students should not neglect the subject.
Students should concentrate on the scoring topics such as Optics, Electricity and Magnetism, etc.

2. Kinematics and Particle dynamics are very important topics of Mechanics that make regular appearance in the JEE papers.

3. According to the general trends, Mechanics and Electricity and Magnetism are the most important topics in terms of the number of questions asked in JEE of previous years.

4. The following is a list of topics which have seen to carry the maximum weightage in the previous JEE Advanced exams:

Mechanics and Electricity and Magnetism (Equal importance)
Modern Physics
Optics
Heat and Thermodynamics and Waves and Sound
Measurement and errors
5. Thermodynamics is an important topic in both Physics and Chemistry so students should concentrate on that as well. It is wise to cover Wave Optics first in 'Optics' topic. The reason is that the portion is smaller compared to Ray Optics thus quick to cover.

Monday, 28 April 2014

JEE (Advanced) 2014 : <b>Study Tips</b> For <b>Mathematics</b> | MATHEMATICIA


JEE (Advanced) 2014 : <b>Study Tips</b> For <b>Mathematics</b> | MATHEMATICIA

Posted: 16 Apr 2014 12:00 AM PDT

bnr

With JEE (Advanced) 2014 just over a month away, it is time engineering aspirants pep-up their preparations for the exam.

The JEE (Advanced) question paper consists of questions from: Mathematics, Chemistry and Physics.

Students may find Mathematics a little overwhelming while preparing for the exam. Here are a few helpful tips for students which will them master the subject.

Paper pattern :

The exam consists of two objective type (MCQ) question papers, designed to test comprehension, reasoning and analytical ability of candidates. Both the papers will be held for a duration of three hours and are made of three separate sections on Chemistry, Physics and Mathematics.

Candidates can answer the questions in English or Hindi. Negative making is applicable for every wrong answer.

Mathematics syllabus :

Algebra -

Quadratic Equations and Expressions, Complex Numbers, Probability, Vectors and 3D Geometry, Matrices

Coordinate Geometry -

Circle, Parabola, Hyperbola

Calculus -

Functions, Limits, Continuity and Differentiability, Application of Derivatives, Definite Integral

Tips :

If we analyse the previous year JEE papers, they suggest that the candidates should pay more attention to Vectors and 3-D than Probability or Indefinite integration as vectors and 3-D offers very less scope to examiner, as far as variety in problem is concerned. Each year 2-3 questions are asked from Complex Number. Therefore mastering complex numbers, vectors, 3-D and Definite integral should be their top priority.

  • Students can make Algebra easier if they can harness the ability to picture functions as graphs and are good at applying vertical and horizontal origin shifts carefully as zeroes of functions and other specific values can be done in much less time using these techniques.
  • Differential calculus again relates well to roots of equations, especially if you use the Rolle's and Lagrange's theorems.
  • Students can use Complex numbers to solve questions in co- ordinate geometry too. Trigonometric questions require applications of De Moivre's theorem.
  • Permutation, Combination and Probability is another very important topic in algebra. Students have to be thorough with the basics of Bayes theorem, derangements and various ways of distribution, taking care of cases where objects are identical and when they are not.
  • Matrices can be related to equations, hence a 3×3 matrix can actually be visualized as being three-planed in 3D geometry. Determinants have some very nice properties, for instance, the ability to break them into two using a common summand from a row/ column, which should be made use of in tougher questions.
  • Integral calculus can be simplified using tricks and keeping in mind some basic varieties of integrable functions. Remembering the properties and applying them wisely saves lot of time.
  • Coordinate geometry requires a good working knowledge of the parametric forms of various conic sections and an ability to convert the other, tougher ones to these basic forms and then interpret the solutions accordingly.

The most important point to keep in mind is that Mathematics can only be mastered with regular practice. Hence the students should try and solve as many sample papers and problems as possible on a regular basis.

ADHD <b>Study Tips</b>: Essay, <b>Math</b> and Multiple-Choice Test-Taking <b>...</b>

Posted: 26 May 2009 09:51 AM PDT

Study tips for students with attention deficit disorder (ADHD)

I remember a quiz I took in high school. I had studied hard, but as I read the first question, my brain shut down. I couldn't remember any answers or solve any problems. Fear paralyzed me.

Does your ADHD student ever have brain-lock? If so, there are ways to keep the brain working in the exam room despite the sometimes-paralyzing symptoms of attention deficit disorder.

Before taking a test, follow these general tips to maximize your success:

  • To relax your mind, visualize yourself sitting down, answering the questions, and getting a good grade
  • Figure out the average time you'll have to answer each question (if there are 10 questions and the test is 30 minutes long, you have at least three minutes for each question)
  • Bring a timer and be sure to use it to stay on task.

Now here are pointers to help you excel on every type of test:

Next: Multiple-Choice Tips

Then: Math and Calculation Tips

Then: Essay Tips

Last: Classroom Aides

Saturday, 26 April 2014

JEE (Advanced) 2014: <b>Study tips</b> for <b>Mathematics</b> | India Results and <b>...</b>


JEE (Advanced) 2014: <b>Study tips</b> for <b>Mathematics</b> | India Results and <b>...</b>

Posted: 15 Apr 2014 04:43 AM PDT

With JEE (Advanced) 2014 just over a month away, it is time engineering aspirants pep-up their preparations for the exam.

The JEE (Advanced) question paper consists of questions from: Mathematics, Chemistry and Physics.

Students may find Mathematics a little overwhelming while preparing for the exam. Here are a few helpful tips for students which will them master the subject. 

Paper pattern:

The exam consists of two objective type (MCQ) question papers, designed to test comprehension, reasoning and analytical ability of candidates. Both the papers will be held for a duration of three hours and are made of three separate sections on Chemistry, Physics and Mathematics.

Candidates can answer the questions in English or Hindi. Negative making is applicable for every wrong answer.

Mathematics syllabus:

Algebra:
Quadratic Equations and Expressions, Complex Numbers, Probability, Vectors and 3D Geometry, Matrices

Coordinate Geometry:
Circle, Parabola, Hyperbola

Calculus:
Functions, Limits, Continuity and Differentiability, Application of Derivatives, Definite Integral

Tips:

  • If we analyse the previous year JEE papers, they suggest that the candidates should pay more attention to Vectors and 3-D than Probability or Indefinite integration as vectors and 3-D offers very less scope to examiner, as far as variety in problem is concerned. Each year 2-3 questions are asked from Complex Number. Therefore mastering complex numbers, vectors, 3-D and Definite integral should be their top priority.
  • Students can make Algebra easier if they can harness the ability to picture functions as graphs and are good at applying vertical and horizontal origin shifts carefully as zeroes of functions and other specific values can be done in much less time using these techniques.
  • Differential calculus again relates well to roots of equations, especially if you use the Rolle's and Lagrange's theorems.
  • Students can use Complex numbers to solve questions in co- ordinate geometry too. Trigonometric questions require applications of De Moivre's theorem.
  • Permutation - Combination and Probability is another very important topic in algebra. Students have to be thorough with the basics of Bayes theorem, derangements and various ways of distribution, taking care of cases where objects are identical and when they are not.
  • Matrices can be related to equations, hence a 3x3 matrix can actually be visualized as being three-planed in 3D geometry. Determinants have some very nice properties, for instance, the ability to break them into two using a common summand from a row/ column, which should be made use of in tougher questions.
  •  Integral calculus can be simplified using tricks and keeping in mind some basic varieties of integrable functions. Remembering the properties and applying them wisely saves lot of time.
  • Coordinate geometry requires a good working knowledge of the parametric forms of various conic sections and an ability to convert the other, tougher ones to these basic forms and then interpret the solutions accordingly.
  • The most important point to keep in mind is that Mathematics can only be mastered with regular practice. Hence the students should try and solve as many sample papers and problems as possible on a regular basis.

<b>Study</b> confirms monkeys can do <b>math</b> | The Verge

Posted: 22 Apr 2014 02:11 AM PDT

Scientists have long suspected that monkeys are capable of mental arithmetics and a new study is helping them prove it. A research team led by neurobiologist Margaret Livingstone trained three rhesus macaques to identify symbols representing the numbers zero to 25. They then taught the test subjects how to perform addition. To eliminate the possibility of rote learning, the team had the monkeys learn an entirely different set of symbols representing the numbers zero to 25. The monkeys were able to reapply their previous knowledge to the new set and continue performing basic mathematics.

Monkeysee

The image above shows one of the monkeys preparing to choose the four and five combination on the panel. It has learned that the combined value is greater than eight and will therefore yield a larger number of liquid drops. According to the study, all three monkeys were on average capable of choosing the correct answer "well above" 50 percent of the time. This rules out the possibility of chance. What's also interesting is how the monkeys were routinely undervaluing the smaller number in a given equation. This challenges the idea that mammalian brains perceive numbers logarithmically and may help researchers better understand how human beings process numbers.

5 <b>tips</b> for Solving <b>Mathematics</b> Problems | OneClass Blog

Posted: 29 Nov 2013 12:17 PM PST

Newton OneClass

Helping students get better grades since 2010

Every student has had to study mathematics some point in their lives time. Some students love it and some students absolutely hate it. Regardless of what you are studying, it is important to understand the basics of mathematics.

7 tips for solving maths problems

1. We are talking about practice! Maths is not a game!

In order to properly study maths, you must get down and do as many practice problems as you possibly can. The more maths questions you do, the better your understand will be. Each maths problems has its own rules and it is important to know those rules before writing your maths tests and exams. OneClass provides students with practice problems – check it out!

2. Double loop learning – Don't make the same mistakes twice!

Let's face it. When you are solving practice maths problems, you are going to make mistakes. The great thing about making mistakes is that you are able to review these mistakes and learn from them so that you don't make the same errors on your maths tests and exams. Make sure you understand where you went wrong and ingrain that error into your head.

3. Unlock the key concepts

The last thing you want to do when you are studying maths is memorizing the exact processes. It is much more productive if you focus on understand that process and the logic that is associated with the process. Because maths is a sequential subject, it is important to understand the basics. If you are having difficulties solving complex problems, first try solving easier problems that focus more on the basics. You can review key concepts with OneClass Exam Video tutorials.

4. Understand your frustration points

Maths can be extremely frustrating at some points. Some concepts are extremely difficult and can leave yourself questioning "should I just quit?" It is very important to understand your points of frustration. You don't need to master every question. Move on to the next question, or go back to questions that you understand to help re-build your confidence. Absolutely do not give up!

If you find it helps, study with a friend so that you can talk to one another when you get stuck. It is also terrific practice if you are able to explain concepts to another person to help perfect your understanding.

5. Find the perfect study spot

Students need to be able to concentrate wen studying maths. It is crucial for you to find a study area that is a distraction free zone. Music can help when studying, but make sure that it is not distracting you.

Wednesday, 23 April 2014

“I <b>study</b> Spanish and Social Justice, <b>Math</b> is not what I do”


“I <b>study</b> Spanish and Social Justice, <b>Math</b> is not what I do”

Posted: 22 Apr 2014 11:40 AM PDT

Comments
Permalink
Posted by    Tuesday, April 22, 2014 at 2:40pm

Said to me by a cashier on the Cornell campus.

Moments after she punched the wrong amount into the cash register for the single item I purchased.

 

 0 

 

 13

Postal Assistant / Sorting Assistant Exam 2014 <b>Study</b> Materials <b>...</b>

Posted: 20 Apr 2014 10:15 PM PDT

Friends, In our last post Syllabus and preparation plan of Postal Assistants itself we gave the links to study materials of Postal Assistants exam. But some of our friends have complained that they are finding it difficult to locate all the study materials. So here, we are giving you all the materials of PA / SA Exam 2014 in a sorted order. Happy Reading :)

Before Going to check the study materials read the following posts so that you will get the clear idea on what to read and how to read.

JEE Advanced 2014 : <b>Study Tips</b> For Physics | MATHEMATICIA

Posted: 15 Apr 2014 10:21 AM PDT

Now that engineering aspirants are through with their JEE (Mains) 2014, it is time for them to buckle up for the next step, i.e. JEE (Advanced) 2014 . The exam is going to be held on May 25, 2014.

The JEE (Advanced) question paper consists of questions from: Mathematics, Chemistry and Physics.

Students may find Physics as a daunting subject and see fear clouding their mind before the exam. So, to help these students we have complied a few helpful tips for which will them prepare for the subject.

Paper pattern:

The exam consists of two objective type (MCQ) question papers, designed to test comprehension, reasoning and analytical ability of candidates. Both the papers will be held for a duration of three hours and are made of three separate sections on Chemistry, Physics and Mathematics.

Candidates can answer the questions in English or Hindi. Negative making is applicable for every wrong answer.

Physics syllabus:

Mechanics
Fluids
Heat and Thermodynamics
Waves and Sound
Capacitors and Electrostatics
Magnetics
Electromagnetic Induction
Optics and Modern Physics

Tips & Tricks :

1. Though not the most scoring, Mechanics is one topic which forms the major portion of the JEE (ADVANCED) in terms of marks. Hence students should not neglect the subject.
Students should concentrate on the scoring topics such as Optics, Electricity and Magnetism, etc.

2. Kinematics and Particle dynamics are very important topics of Mechanics that make regular appearance in the JEE papers.

3. According to the general trends, Mechanics and Electricity and Magnetism are the most important topics in terms of the number of questions asked in JEE of previous years.

4. The following is a list of topics which have seen to carry the maximum weightage in the previous JEE Advanced exams:

Mechanics and Electricity and Magnetism (Equal importance)
Modern Physics
Optics
Heat and Thermodynamics and Waves and Sound
Measurement and errors
5. Thermodynamics is an important topic in both Physics and Chemistry so students should concentrate on that as well. It is wise to cover Wave Optics first in 'Optics' topic. The reason is that the portion is smaller compared to Ray Optics thus quick to cover.

Tuesday, 22 April 2014

A Maggids Musings: Motivation


A Maggids Musings: Motivation

Posted: 21 Apr 2014 02:31 PM PDT

I have noticed my math students fit into four different categories.

I should carefully define how I use the diagram's four words.

Proactive people approach tasks like a swing dance lead: they supply the energy and momentum, and organize what will happen.  They make very specific plans.  They focus on schedules and effort.

Reactive people approach tasks like a swing dance follow: they react to external energy and momentum and fill it with their personal style.  They make vague plans.  They focus on emotion and bargains.

Eudaimonic people think most about overall wellbeing.  They often make choices that arrange their life to have stable happiness.

Hedonic people think about specific comfort and discomfort.  They often make choices to enjoy immediate pleasures or avoid immediate anxiety.

Let's consider what students of each type might say to themselves to help motivate themselves to do math homework.

(Obviously, most real-life students will be motivated by a blend of these types.  Yet some types will be more strongly influential than others.  Students reading this essay will think, "Yeah, I am mostly that one with some of this and that.")

The proactive, eudaimonic student 

I will set aside specific times and places to study each week.  I will make myself do the homework.  I know that if I arrange my week in a way that makes homework a priority then I will not fall behind in class.  Falling behind causes trouble.  I believe I can pass any class if I never fall behind.

I will keep aware of my potential resources: office hours, tutoring, the library's collection of the textbook publisher's videos for each section, online math videos, my roommate's friend who is great at math, etc.  If I ever start falling behind I will pick one more resource to start using.

I will compare my notes with those of some classmates.  That will help me learn what kind of math notes help me most.  If someone else seems to be a much better note taker than I am, I will ask if they can teach me their way.

The proactive, hedonic student 

I will set aside specific times and places to study each week.  After each study time I will schedule getting together with friends.

I will make myself do the homework.  It will be easier to get the homework done while I am looking forward to having fun afterwards.

I recognize that discouragement is normal and temporary.  I will push through any discouragement.  If I need to bribe myself by eating a chocolate chip after each homework problem, so be it.

I am afraid to ask questions during class.  I'll ask one each week.  If I don't then I will go up to my teacher after class on Friday and apologize for not asking my questions.  That would be horrible, so I know I'll ask one question.  Probably on Mondays to get it done with.

I believe I can succeed.   I can reach my goals.

The reactive, eudaimonic student

This homework intimidates me but I will show it who is boss!  When I finish a homework assignment I will celebrate using social media so my friends can say 'good job!' and I will feel happy.

I will join a study group so the expectation of attending it will keep me from procrastinating.  Also, in the study group I will sometimes be the person who give hints and help to others and that will make me feel good.

After a test I will get some tutoring from my friend who is great at math.  If I do well her congratulations will make feel good.  Knowing she will be looking at my tests' scratch work will motivate me to write my step-by-step answers nicely, which will itself help my test scores.

I will take great notes.  If there is someone in my class who needs a copy of someone's notes (I know disability services sometimes recommends this to people) I will volunteer.  That will make me feel useful and happy.  And I'll have good notes!

I realize I am afraid to ask questions during math class.  I made a bargain with my roommate: whichever of us asks the more questions in our math classes each week buys the other a fancy coffee during the weekend.

The reactive, hedonic student

This homework intimidates me but I will show it who is boss!  Each day I will not eat deserts until my homework is done.

I know that listening to music slows me down, but after I complete three-quarters of the problems I will turn on my music anyway so I finish in a better mood.

I will mark the tests on my calendar with the big red words "math test!".  A little fear helps prevent procrastination.  I am going to worry about the tests anyway.  I might as well use that worry to help get my homework done on time.

I know I have some strengths.  I am organized.  I can focus when studying.  I passed the previous math class.  I like going to class.  I want to do well.  When I feel discouraged I will think about these strengths.

I realize I am afraid to ask questions during math class.  When I do ask questions I will applaud my bravery.  I might even do a little dance after class.



All four types of students can motivate themselves, complete the homework, and succeed in math.  But how they do it is very different!

LCC has a nice flyer about study tips.  The LCC Testing Office has online study tips.  My own math website has study tips.

The majority of these study tips seem to assume students can be proactive and eudaimonic.  But sociologists are learning more about how these motivation types are a deep part of us, and geneticists are learning more about how they are more inherent than learnable.

Perhaps I should go through all of these study tips to see how well they sort by motivation type?

Or perhaps I should offer that as a small extra-credit assignment to my math students the first week of each term?

Does anyone have other tips or advice for helping students of different motivations?

Monday, 21 April 2014

<b>Math</b> Problem Solving Stories and Case <b>Studies</b> - Suite


<b>Math</b> Problem Solving Stories and Case <b>Studies</b> - Suite

Posted: 26 Aug 2008 09:33 PM PDT

Using problem solving stories or case studies, not just problems, puts math in a real world context for students. When students are able to make a personal connection in math, like any other subject, they tend to internalize and retain the new information longer. Also, they are able to make the important connections between different math concepts.

Making math connections is critical to understanding math. So often students are very good with math concepts when treated separately, however the ones who have difficulties cannot connect the dots or concepts. Using problem solving cases studies helps students make connections between concepts, as they use their prior knowledge and experience in resolving the case study's problem.

Case Studies for Developing Math Process Skills

Cases studies are based on placing students in problem solving situations centered on the theme of a story or situation. Students assess the problem, determine what is known, make charts, data tables, models, and determine other important or non important information in the story.

Here are examples of group methods used in math case studies:

TV Station Newscrew -- a team of investigative newsreporters has discovered a problem and is asking groups to provide answers to questions:

  • Investigative Reporter Group
  • Local Government Officials
  • Local College Math Department
  • Concerned Citizens for Accountability
  • Local School District Math Teachers
Public Hearing Format – after assessing different aspects of a case study, a panel is selected to represent public officials and receive testimony from expert witnesses. For example:
  • Mathematician
  • Concerned Citizens
  • Concerned Businesses
  • Public Officials
  • Special Interest Groups
Research Team – students form groups and role play specific mathematicians to ask questions, form conjectures, analyze the case study's data, and defend their findings before a board. Each group could have a:
  • Expert in Geometry
  • Expert in Measurement
  • Expert in Numbers and Operations
  • Expert in Algebra
  • Expert in Data Analysis and Probability

Sample Math Case Study

One More Minute Between Classes

The student council has asked the principal to add one more minute between classes, to cut down on the number of students tardy for class. The principal has asked your class to study the matter and make a recommendation. Here are guidelines provided by the principal:

  • Bus schedules cannot be changed; because of after school activities and bus schedules.
  • Classes must meet at minimum of 210 minutes a week or 420 minutes every two weeks.
  • Homeroom time is required.
  • A multimedia presentation is expected in two weeks.
  • Be prepared to defend any plan with facts, figures, and charts

Case Study Student Participation Method

Students are divided into groups, with each group given a specific role. Groups select a leader who meets with other group leaders to share information and debate the pros and cons of each group's position. The group leaders then oversee the preparation of a presentation for the principal based on class consensus.

Example group roles are:

  • School Bell Schedule Group
  • Other Schools Research Group (how other schools have or have not solved a similar problem)
  • Student Poll Research Group
  • Teacher Poll Research Group
  • Parent Poll Research Group
This case study is personal and realistic; also it is the way most business management processes operate today. Additional resources to support math problem solving with case studies include 12 Tips for Solving Word Problems and Math and Problem Solving Skills.

Friday, 18 April 2014

JEE (Advanced) 2014 : <b>Study Tips</b> For <b>Mathematics</b> | MATHEMATICIA


JEE (Advanced) 2014 : <b>Study Tips</b> For <b>Mathematics</b> | MATHEMATICIA

Posted: 09 Apr 2014 09:00 AM PDT

With JEE (Advanced) 2014 just over a month away, it is time engineering aspirants pep-up their preparations for the exam.

The JEE (Advanced) question paper consists of questions from: Mathematics, Chemistry and Physics.

Students may find Mathematics a little overwhelming while preparing for the exam. Here are a few helpful tips for students which will them master the subject.

Paper pattern :

The exam consists of two objective type (MCQ) question papers, designed to test comprehension, reasoning and analytical ability of candidates. Both the papers will be held for a duration of three hours and are made of three separate sections on Chemistry, Physics and Mathematics.

Candidates can answer the questions in English or Hindi. Negative making is applicable for every wrong answer.

Mathematics syllabus :

Algebra -

Quadratic Equations and Expressions, Complex Numbers, Probability, Vectors and 3D Geometry, Matrices

Coordinate Geometry -

Circle, Parabola, Hyperbola

Calculus -

Functions, Limits, Continuity and Differentiability, Application of Derivatives, Definite Integral

Tips :

If we analyse the previous year JEE papers, they suggest that the candidates should pay more attention to Vectors and 3-D than Probability or Indefinite integration as vectors and 3-D offers very less scope to examiner, as far as variety in problem is concerned. Each year 2-3 questions are asked from Complex Number. Therefore mastering complex numbers, vectors, 3-D and Definite integral should be their top priority.

  • Students can make Algebra easier if they can harness the ability to picture functions as graphs and are good at applying vertical and horizontal origin shifts carefully as zeroes of functions and other specific values can be done in much less time using these techniques.
  • Differential calculus again relates well to roots of equations, especially if you use the Rolle's and Lagrange's theorems.
  • Students can use Complex numbers to solve questions in co- ordinate geometry too. Trigonometric questions require applications of De Moivre's theorem.
  • Permutation, Combination and Probability is another very important topic in algebra. Students have to be thorough with the basics of Bayes theorem, derangements and various ways of distribution, taking care of cases where objects are identical and when they are not.
  • Matrices can be related to equations, hence a 3×3 matrix can actually be visualized as being three-planed in 3D geometry. Determinants have some very nice properties, for instance, the ability to break them into two using a common summand from a row/ column, which should be made use of in tougher questions.
  • Integral calculus can be simplified using tricks and keeping in mind some basic varieties of integrable functions. Remembering the properties and applying them wisely saves lot of time.
  • Coordinate geometry requires a good working knowledge of the parametric forms of various conic sections and an ability to convert the other, tougher ones to these basic forms and then interpret the solutions accordingly.

The most important point to keep in mind is that Mathematics can only be mastered with regular practice. Hence the students should try and solve as many sample papers and problems as possible on a regular basis.

<b>Study</b> in US <b>Tips</b> to Prepare for GRE <b>Maths</b> » <b>Study</b> in US

Posted: 28 Dec 2010 08:20 AM PST

GRE math section consists of questions which include quantitative comparisons, multiple choice questions and analysing graphs. With 45 minutes, candidates are expected to solve around 28 questions over a wide array of topics covering arithmetic operations, percentage, estimation radical expressions, absolute value, algebra, geometry principles and data analysis.

Format and difficulty level

GRE maths includes 14 questions of quantitative comparisons, 9 multiple choice questions and 5 graphs. They test the basic mathematic skill of the students with focus on ingenuity rather than in depth knowledge that could have given undue advantage to students of maths. So although the difficulty level of the GRE math problems is not very high, students are expected to be able to spot the easy questions and tick them off rather than wasting time over lengthy solutions.

Use the substitution technique

One of the things that work very well for many students is the idea of substituting. Often you have a question where you will arrive at an equation and a lot of students try to solve that equation and get to the answer. This could be a time consuming way. If you have 4 simple multiple choices, you can substitute them and straight away get the right answer.

Manipulate the expressions and think out of the box

When we think numbers we always think about positive integers. This could also lead to out downfall. When you are choosing possibilities for a particular question and trying to make assumptions, consider extremes as well like fractions, negative integers etc. Thinking differently will always help you avoid the bigger blunders of estimation. A simple way of manipulating the expression could also be to cancel out the equals from both sides, making the final calculations or estimations easier.

Don't get down to doing the math till the last step

Sometimes you might not have a choice but in most cases, your approach is wrong if you are going into deep calculations. Most questions are framed to be solved easily if you spot the right concepts and factors. In fact, in case of some questions, where you know about specific conditions or theorems, you don't even have to put pen on paper. A good example is in case of geometry angles. So, always try to spot the easy answers before sitting out to calculate things the hard way.

To try out some of your GRE math skills, you can test yourself with this free GRE math practice test.

Sunday, 13 April 2014

<b>Tips</b> for Taking Multiple Choice <b>Math</b> Tests - Amazing <b>Math</b> Tutor


<b>Tips</b> for Taking Multiple Choice <b>Math</b> Tests - Amazing <b>Math</b> Tutor

Posted: 12 Apr 2014 02:19 PM PDT

Have you ever distressed over a Math test to be held tomorrow? Can you imagine how stressful that is? Having to study for it, practically cram for it especially since you haven't studied before?

 This is actually the first mistake you've committed. Normally, teachers announce exams a week before you have to take it, especially for Math. Having heard of this, you should have started preparing for it. You can mostly just read over the study materials and familiarize yourself with the topic. It is especially helpful if you try out the examples yourself and practice solving it without looking at the solution for the Math problem.

 Doing this gives you a boost of confidence when you find that the answer you solved for is similar to the correct answer. Now, when you study, try not to stress yourself out, thinking to yourself how you should ace it and so you can't make a mistake here. That kind of thinking is dangerous. Peer competitiveness can become unhealthy if it's done too much. You can end up stressing yourself than helping. Additionally, do not think too much about making mistakes. You'll end up over-stressing yourself if you berate yourself for making mistakes. Many fall victim to these stressful assumptions that even they don't know themselves that they've fallen victim.

 If in case though, that you find yourself stuck; that even though you've studied so hard and so long, yet you still don't get the entire process. If this is the case with you, why not consider hiring a Math tutor that can help you out? Math tutors often know how to make your lessons simpler, in a sense that you can slowly but finally get the whole process of math.

 However, you can't exactly be with your Math tutor all the time, now can you? Most often than not, you won't have your tutor to help you by the time you need to take exams. Since this is the case, here are some things that you should consider doing when your exams near.

 On the night before your Math test, consider going to bed on time so that you can have a fresh and awake state of mind for when you go to take your test. Moreover, be at school on time, or maybe earlier so that you can calm down for when it's time to take the test.

 Moreover, keep in mind that even though you feel like you're forgetting something try not to cram in the morning of your test. Eat a good breakfast, calm down, and sure enough you'll remember all that you've studied during the test. Just think positive!

 When you get your test and you find that you were given a multiple-choice kind of exam, here are some tips that you can use to help you find the correct answer.

 First of, read the instructions carefully. Make sure you understand what's being asked for and how it's being asked for. If you do not understand the directions, ask your teacher to explain the instructions to you.

Afterwards, read the problem and encircle or underline the specific key words that you know you've just got to keep in mind as you solve for the answer. Most Math questions are straightforward and you just have to read them carefully to find your answer.

 Since this is a multiple-choice type of test, you can eliminate the answers you just know is wrong. Be careful when you do this though, since you're crossing out the ones that you are sure are wrong, just be sure that they are really wrong.

 But if you can't decide what the answer is sure to be and which ones are wrong, get solving. Read the problem again, get the given information and collect them to one spot and mark them properly afterwards. Solve the problem on your own without looking at the choices and once you've found your answer, compare it with the given answers on the multiple choices. If you find your answer similar to one of the multiple choices, that's a good sign, just be sure that they're exactly the same number. If it's only close, solve again, most often than not, that's wrong.

Remember; don't panic if you can't get the answer. Pace yourself and if you just can't get the answer that you're sure is right, skip it and just get back to it after you've read and answered the rest of the questions.

 By skipping questions that you're having trouble with in favor of answering the next one in hopes of getting the next, you'll surely save more time. If you get the answer to the next one, and then the next, you're confidence may rise and you'll be able to calm yourself down significantly, in time to answer the question/s you skipped. That's right; skip a question if you're having trouble with it, or if you're having trouble understanding what the question is looking for, or if your answers just don't match up. This way, you can skip the frustration and just get back to it once you're sure about the others. This way, you can read through the whole exam and get as many sure right answers as you can.

 By doing this, you can be sure that you have a higher chance of passing, especially since the ones you've skipped are the ones you're having trouble with. If worst comes to worst and the time runs out, you can also make a sudden intelligent guess just to have a chance of answering the skipped question/s correctly.

Now, if your arms tire during the test, relax your grip and give the muscles on your hand and arm to get a break. Calm yourself down at the meantime and think about how much you're practiced answering; this will give you that sudden boost of morale to keep going.

 Remember, it's not about scoring the highest; it's about passing the test to the best of your abilities. Don't put pressure on yourself if you can help it, and just study as much as you can so that when the test comes, you're as ready as can be.

 Again, in Math, it's not just about guessing, it's about making an intelligent guess after eliminating the choices that you're just sure is wrong. Additionally, if you find that you can back substitute the answer on the multiple choices you should go ahead and do so. This will surely save you time and effort. These type of questions are illusive however finding a question that you can back substitute with is hard, so to be on the safe side, just solve the question the proper way.

 When it comes to charts and graphs, be sure to read titles, and axis labels to be sure that you're looking at the right chart and axis. Additionally, when there are multiple questions behind a single passage, move on to reading the questions first before reading the passage, this is to help you find the one's that you need to answer and just focus on that instead of reading the whole passage.

 Math is pretty straightforward, just be sure to practice a lot and solve as many Math questions as you can by yourself to train how to answer and solve a problem calmly and in a composed manner, without panicking at the mere sight of new information to solve with.

Hiring a Math Tutor can help you improve your grades when taking multiple choice math tests.

 
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