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Good Ideas in Teaching Precalculus And...

... Algebra, Calculus, Geometry, Discrete Mathematics,
and Probability & Statistics, with Technology

Rutgers University - Busch Campus - New Brunswick
Friday, March 17, 2017
8:30 a.m. - 3:00 p.m.


Featuring a Plenary Session, a Sharing Session (with 9 choices),
and four 50 minute Presentation Sessions (each with up to 9 choices), two before and two after lunch; details of these programs are presented below

(click on the title to see the abstract)

Precalculus and Calculus:

Add a Little Color to Your Precalculus and Calculus Classes
Calculus Lessons with Dynamic Software: Tangents, Slopes, Extrema, and Derivatives
Compositions and Inverses with Quadratic Functions
Desmos for Calculus
Making the Connections Among f, f', and f''
Series: From Precalculus to Calculus
Teaching Trig Without the Unit Circle: An All-Triangle Approach
Trig Tricks with All Sorts of Technology
Using Technology to Enhance Calculus Instruction

Algebra and Geometry:

Alternative Assessment Ideas in Algebra, Geometry, and Precalculus
Exploring Geometry Concepts Using Hands-On Learning
Learning Linear Equations Through Kinematics
Making Connections Between Algebra and Coordinate Geometry
Visual Representations for Proportional Thinking and Algebraic Reasoning

Discrete Mathematics, Probability, and Statistics:

The Binomial Theorem, Pascal's Triangle, Explorations and Patterns (with CAS)
The Facility Location Problem: Algebra and Geometry Meet Discrete
Using Statistics to Understand Investments


Assessing Background Skills of Students Enrolled in College Calculus and Precalculus
Best Practices in Writing and Using Assessments
A Closer Look at the Redesigned SAT: Implications for High School Teachers
May, October, or January: When Will You Take the New SAT?


Delivering Standards of Mathematics Visually
Flipped Mastery Learning in High School Mathematics
Productive Struggle and Student Discourse
Identifying the Potential of Students with Serious Gaps in Mathematical Understanding

Mathematics and Technology:

The Beauty of Flipped Lessons
Incorporating Desmos in Algebra 2 and Precalculus Classes
Using EDpuzzle (Free) to Flip or Blend Your Classroom
What's New for the SMART Board Software - Notebook 2016

Plenary Session:

What Every High School Student Should Know About Discrete Mathematics

Joseph G. Rosenstein, Distinguished Professor of Mathematics, Rutgers University

There are many areas of discrete mathematics to which all high school students should be exposed, either because they have important applications, or because they are particularly interesting or beautiful or surprising, or because they shed light on the "human endeavor" that we call mathematics. In this presentation, I will speak briefly about ten topics that every high school student should encounter, including, if time permits, Fibonacci numbers, the Four Color Theorem, the Traveling Salesman Problem, Tower of Hanoi, Euler and Hamilton circuits, the Utilities Problem and Euler's Formula, Probability Misconceptions, Apportionment and Redistricting, the Addition and Multiplication Principles of Counting, and Pascal's Triangle.

Joe Rosenstein received his AB from Columbia and PhD from Cornell, and came to Rutgers in 1969 after teaching at Minnesota for 3 years. He capped his research career with “Linear Orderings,” a 400-page research monograph in textbook form. Since the early 1980s his focus has been on K-12 math education. He chaired the effort in 1995 that led to math standards in New Jersey and the publication of “NJ Math Curriculum Framework.” He has directed the Precalculus Conference since 1987, the Rutgers Young Scholars Program since 1990, and many, many professional development prog-rams for teachers. He is the author of “Problem Solving and Reasoning with Discrete Mathematics” (new-math-text.com).

Sharing Session

Informal discussions of the following topics:

Bring your experiences and at least one idea to share!

Schedule of Activities

8:30 - 9:20   Session I
9:30 - 10:20   Session II
10:30 - 11:05   Sharing Session
11:10 - 12:15   Plenary Session
12:15 - 1:10   Lunch
1:15 - 2:05   Session III
2:10 - 3:00   Session IV
3:00 - ???   Recreational Mathematics

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