Physical Sciences and Mathematics Commons^™

Mindset Training For Undergraduates In Developmental Mathematics, Valorie L. Zonnefeld, Kate Van Weelden

Faculty Work Comprehensive List

This poster highlights the work of an individual study that student Kate Van Weelden did in Dr. Zonnefeld's Math 100 class. Kate was a teacher assistant who led a lab session for 6 of the students in the Math 100 course. Throughout the semester Kate implemented incremental mindset training for her 6 students. The results showed a promising avenue for improved achievement, especially among males.

Supplemental Instruction For Developmental Mathematics: Two-Year Summary, Olen Dias, Alice W. Cunningham, Loreto Porte

Publications and Research

Supplemental instruction—using trained peer tutors to conduct additional class sessions in a group-work format—has been in use for over forty years. However, its success in developmental mathematics has been inconclusive. In the two years since institution of the strategy for developmental mathematics students at Hostos Community College, overall results (n = 5403 students) show significantly improved course pass rates to at least a 99% confidence level. Although no significant course retention differences have yet appeared, academic success itself promotes future retention. The program has proved beneficial for the College’s developmental mathematics students and is being expanded. Future research including …

A Meeting Of Minds: An Alternate Humor For Teaching Mathematics To Non-Stem Majors, Paul H. Grawe

Journal of Humanistic Mathematics

John Allen Paulos argued essentially for three forms of humor dear to mathematics: Incongruity, Gotcha, and Word Play. Unfortunately, these three are often combative forms and easily drive non-STEM majors out of mathematics and statistics.

William Dunham in The Mathematical Universe shows how a fine mathematician can use humor to draw non-specialists in. Central to Dunham’s success is his use of Sympathetic Pain humor, which creates softer synthetic Reconciler, Consoler, or Bridgebuilder humor styles.

1. Coffee, Ruth Dover

Differential Equations

Newton’s Law of Cooling.

3: Drugs And De's, Ruth Dover

Differential Equations

Making a connection between discrete recursion and differential equations.

2. Population, Ruth Dover

Differential Equations

Introduction to logistic population growth.

4. Dragging Along, Ruth Dover

Differential Equations

More information on air drag.

1. Measuring Speed, Ruth Dover

More on Derivatives

Tables of values to measure rates.

2. Intro To Concavity, Ruth Dover

More on Derivatives

Looking at changes in ƒ’ to understand concavity.

3. Derivatives Of Exponential Functions, Ruth Dover

More on Derivatives

Exploring the derivative of exponential functions.

Limits3, Ruth Dover

Limits

Algebraic techniques for functions with holes.

More Limits, Ruth Dover

Limits

No abstract provided.

Limits2, Ruth Dover

Limits

More on limits, both algebraic and graphical, including one-sided limits.

Limits5, Ruth Dover

Limits

Limits and continuity.

Limits1, Ruth Dover

Limits

A basic idea to limits and notation.

Limits4, Ruth Dover

Limits

An introduction to limits as something goes to infinity.

Rate Of Change 1, Ruth Dover

A Simple Introduction to Rates

No abstract provided.

Rate Of Change 4, Ruth Dover

A Simple Introduction to Rates

No abstract provided.

Rate Of Change 3, Ruth Dover

A Simple Introduction to Rates

No abstract provided.

Bc 1 Rate Of Change Activity Sheet Teacher Notes, Ruth Dover

A Simple Introduction to Rates

Before beginning this section of handouts, students will be introduced to a variety of vocabulary words often associated with calculus. These words will be used in an intuitive sense only and will not have been formally defined. Vocabulary should include graphical terms such as continuous, increasing, decreasing, maximum and minimum points, concave up, concave down, and point of inflection. In addition, discussion of the concept of "rate of change" should begin. It should be mentioned that many quantities change – population, cost, and temperature, to name just a few. All that is specifically required at this point can be related …

Rate Of Change 2, Ruth Dover

A Simple Introduction to Rates

No abstract provided.

Approximations 1, Ruth Dover

Integrals

Measuring distance and accumulation.

Approximations 4, Ruth Dover

Integrals

Trapezoidal Rule.

Approximations 3, Ruth Dover

Integrals

Understanding Riemann sum approximations, including technology.

Approximations 2, Ruth Dover

Integrals

Drawing rectangles and calculating Riemann sums.

1. Monotonic Sequences, Ruth Dover

Series

Practice with monotonic sequences.

Series 08, Ruth Dover

Series

More on error.

Series 07, Ruth Dover

Series

Where did the Lagrange error bound come from?

3. Upper Bounds, Ruth Dover

Series

Understanding upper bounds and a proof of the divergence of the harmonic series.

Series 10, Ruth Dover

Series

Extra stuff to show more ways to work with series.