Maths Coach's Guided Examples offer a better learning experience. Educational research has consistently shown that learning the processes for working exercises before tackling the exercises themselves provides better outcomes.
Learning the processes while working the exercises leads to what researchers call 'cognitive overload'. This means students are expending so much mental effort solving the exercises they fail to learn the processes. Maths Coach's Guided Examples concentrate on teaching the processes using an interactive approach. Some people call them interactive worksheets.
The multiple choice prompts in the Guided Examples are there for a very good reason: Again, educational research has consistently shown that giving students a shot at the answers before they are revealed speeds up learning. This effect is strong enough that at least one Mathematics contest training book now includes problems at the start of a chapter, that is, before students have had a chance to cover the material that will help them solve those problems.
Guided Examples also encourage two good mental habits - look before you leap and check what you've done. Another benefit is, because the next step in a solution is hidden, they also help you avoid delusions of competence.
Now that you've read this far, the least you can do at this point is try it for yourself. Some practical advice here is to adopt a Zen attidude and just go with it.
Ways To Use The Samples
There are more than a dozen samples to choose from. You could pick any of
Getting The Most Out Of The Samples
Algebraic Fractions
This is the second of six lessons on algebraic methods.
Derivatives
This is the second of eight lessons on basic differentiation.
Discrete Probability Distributions
This is the first of four lessons on discrete probability distributions.
Graphical Relationships
This is the first of four lessons on further work on functions.
Mathematical Induction
This is an introduction to mathematical induction
Annuities
This is the second of six lessons on financial mathematics.
Differential Equations
This is the first of four lessons on differential equations.
For 2 Unit, here is a list of lessons arranged by Course Topics
For 3 Unit, here is a list of lessons arranged by Course Topics
For Mathematical Methods, here is a list of lessons arranged by QCEMM Course Topics
For Mathematical Methods, here is a list of lessons arranged by VCEMM Course Topics
Working With Functions
This is the second of four lessons on introduction to functions.
Derivatives of Products
This is the fifth of eight lessons on basic differentiation.
Investigating Discrete Distributions
This is the second of four lessons on discrete distributions.
Remainder and Factor Theorems
This is the third of five lessons on polynomials.
Antiderivatives
This is the first of eight lessons on basic integration.
Continuous Probability Distributions
This is the first of three lessons on continuous probability distributions.
Vectors
This is the first of four lessons on the basics of vectors.
We have made no attempt to facilitate printing of either Lessons or Guided Examples. This is a deliberate omission on our part. Passive reading is one of the worst ways to learn maths and students should stop doing it.
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