Teacher Resources
Math WOrkbooks
The workbooks I've developed emphasize problem-solving over rote mechanics. They can be used for individual and group explorations as well as for teacher-centered learning. I've included creative problems of a variety of difficulties in order to help students learn not just how to implement techniques, but also when to apply which ones and how to use them in conjunction with each other to solve challenging and unfamiliar problems.
"Mark's books have revitalized my teaching and given me the resources to help my students become good problem solvers. The
problems in his books push students to think outside the box and to see the need to collaborate with other students to solve
engaging non-routine problems. There are problems for students at all levels of their problem-solving development and I watched
as my most reluctant geometry students became hooked by the problems and I also saw my most advanced students finally
encounter problems that pushed them to think in ways that they'd never been asked to think before. The books are truly fabulous!"
Kem Morehead, Concord Academy
"Geometry is my passion in math, I have searched in vain for a geometry textbook that engages and challenges my students to
think. There was not one I liked. And then a colleague shared Mark Engerman's materials, and I loved it all. I instantly used it in my
classes. There are so many great problems, it is hard to decide which to assign to my students!" Mark Fidler, Buckingham Browne & Nichols School
OTHER MATH COURSE MATERIAL
Problem sets from a few other courses that do not have a full semester-long workbook. These classes include Advanced Problem Solving, The Mathematics of Social Justice, and Vector & Multivariable Calculus.
Musings about math and math education
Short articles and other reflections about math and teaching math.
Economics Resources
Problem sets, activities, and case studies to help students attain a deep grasp of economic concepts.
Math WOrkbooks
Each book is for a one-semester course, so a year of math consists of two courses. The books are 200-350 pages each. They include answers at the end of each sections. Solutions guides will be posted at some point in the future.
Honors Algebra 2
Trigonometry
Honors Trigonometry
Probability and Descriptive Statistics
Precalculus (Functions)
Honors Precalculus: Includes functions, combinatorics, probability, sequence/series, matrices, and descriptive statistics
Differential Calculus
Integral Calculus
Calculus Part C: Includes topics from the AP BC exam but not the AB exam |
Other COURSE MATERIAL
Advanced Problem Solving: This class uses content through calculus AB to solve challenging and creative problems. Unit 1: General problem solving: themes include arithmetic and geometric series, matrices, geometric probability, and some informal number theory
Unit 2: Markov chains coming soon!
Unit 3: Locus of points: including tilted conics, challenging parametric equations, taxi-cab geometry, and more coming soon!
The Mathematics of Social Justice: this class has units about measuring equality and data analysis, ressiduals and affirmative action, dynamical systems and residential segregation, Markov chains and social mobility, game theory and perceptions of fairness, and the math of democracy. coming soon! Vector and Multivariate Calculus: I created some problem sets to supplement the textbook we used. They tend to emphasize applications and problem-solving. coming soon!
The Mathematics of Social Justice: this class has units about measuring equality and data analysis, ressiduals and affirmative action, dynamical systems and residential segregation, Markov chains and social mobility, game theory and perceptions of fairness, and the math of democracy. coming soon! Vector and Multivariate Calculus: I created some problem sets to supplement the textbook we used. They tend to emphasize applications and problem-solving. coming soon!
Musings about math and math education
Problem-solving in descriptive statistics: authentic data analysis coming soon!
developing more reflective and introspective students coming soon!
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The case for Markov Chains as an early topic in matrices coming soon!
Drug metabolization using recursive sequence, explicit sequence, series, and matrices coming soon!
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ECONOMICS RESOURCES
Case Studies: Sets of questions on particular themes that require students to work together to delve deeply into interesting applications of important economic concepts.
Free Trade
Rent Control
Pharmaceuticals and Patents
Cap and Trade
Activities
Economic efficiency of trading snacks coming soon!
How markets come to equilibrium by trading a security coming soon!
How the stock market works by creating and trading a security coming soon!
Worksheets
"Behind the supply curve": marginal cost, average cost, profit maximization coming soon!