Pedagogy

These are posts on how to teach. Suggestions for your classroom on Planning, scoring and grading, mathematical structure, technology, and graphing calculator use.

Planning the year

Pacing for AP Calculus – Suggestions for planning the year.

Lesson Plans – The Calc-medic.com website offers FREE lesson plans for AP Calculus

Getting Started – Suggestion for getting ready to plan the year.

The First and Second Day of School Tips for getting started

For Any – For Every – For All – Three phrases that mean the same thing. Use them all every time!

The First Week – A contribution from Paul Forester about getting started with the calculus

Your AP IPR – how to use your instructional planning report from the College Board            

Flipping and Flipping (Part 2) – Thoughts on flipping your classroom by Guest Blogger Bobby Barber.

Using AP Questions All Year – suggestions on adapting AP questions.

When are we ever…? – Guest Blogger Allan Wolmer gives his answer to the student question we never want to hear, but hear always.

Teaching How to Read Mathematics – Hints and suggestions

Calculus Camp – Guest blogger Robert Vriesman talks about his calculus review camp.

Instructional Approaches for AP Calculus – From the 2016 CED, but not the 2019 CED. A good list and a good reference

Scoring and Grading

What is a Solution? – A meditation on “the answer.”

On Grading – adapting AP style grading to your test. Also, using True or False questions

On Scaling – A percentage grade tells you nothing.

Scoring Different Versions of the Same Test

Percentages Don’t Make the Grade – On grading tests, quizzes, etc.

“Easier” Exams – How AP Exam scores are determined.

Is this going to be on the exam? More on the AP Calculus exams

Does Simplifying Make Things Simpler? – Yes, no, and maybe

Mathematical Structure

Theorems = Notes on learning theorems.

Theorems and Axioms – Notes on theorems and axioms.

Definitions – Notes on learning definitions.

Definitions 2 – How to write a definition and therefore what to look for in your textbook’s definition.

Proof – To prove or not to prove.

Then there is this – Existence Theorems – Explains existence theorems.

Technology

iPads – Using iPads in the classroom

Apt Apps – 1 – Good Grapher Pro a great graphing app for iPads.

Apt Apps – 2 – Apps for note taking: iAnnotate PDF, Notability, Penultimate, Educreations, Doceri, ShowMe, Whiteboard. Socrative is a student response system that I’ve used to good effect. Splashtop.

Socrative

Apt Apps – 1 – Good Grapher Pro a great graphing app for iPads.

Apt Apps – 2 – Apps for note taking: iAnnotate PDF, Notability, Penultimate, Educreations, Doceri, ShowMe, Whiteboard. Socrative is a student response system that I’ve used th good effect. Splashtop.

“A Little Calculus” – An iPad app that shows all the main applications needed for calculus.

Graphing Calculator Use

Calculators – How they came to be required.

Calculator Use on the AP Exams – What students should be able to do and what they cannot do on the exam with their graphing calculator.

Graphing Calculators – HP Prime, History, iPad’s testing option.

Discovering the Derivative – Ways to introduce the idea of a derivative using a graphing calculator.

Graphing Calculator Use – (1) Graphing and Store-and-recall

Tangent Line – (2) Exploring the tangent line and the derivative                

Seeing Difference Quotients – (3) Using technology to explore difference quotients.

Comparing the Graph of a Function and its Derivative – (4) Seeing how the features of either affect the other.

How to Tell your Asymptote from a Hole in the Graph. – (5) Helping your calculator and your students see discontinuities.

Graphing Integrals – (6) Graphing integrals without integrating.

Definite integrals – Exam Considerations – (7) calculator integration.

Graphing Taylor Polynomials – (8) How to use a grapher to see a series and its interval of convergence.