Including Leap Year in the Canonical Birthday Problem
A method for eliminating the assumption that there are only 365 day per year when deriving the equation that solves the canonical birthday problem. Compares formulas used for 365 days and 366 days. Includes table comparing sample probability values.
Recruiting Mathematics Teachers: Strategies to Consider
Barbara Reys, Robert Reys
Strategies for recruiting more mathematics teachers. An action plan with a focus on recruitment of undergraduates and attracting career changers into mathematics teaching.
Is It Always True? From Detecting Patterns to Forming Conjectures to Constructing Proofs
Using numerical problem situations to understand of the roles that reasoning and proof play in mathematics. Article discusses problem situations, students detect patterns, form conjectures related to whole numbers and operations, and use basic algebra skills to prove their conjectures. Includes three tasks with suggested conjectures and proofs.
What Do You See? A Case for Examining Students' Work
Gladis Kersaint, Michaele Chappell
Various interpretations of an area and volume problem, A rod-staircase problem to showng that different student interpretations lead to different solutions. Includes student work with different solutions.
Using Research Projects to Help Develop High School Students' Statistical Thinking
Randall Groth, Nancy Powell
Helping high school students improve their statistical thinking skills. Article discusses two projects that include problem posing, data collection and analysis and making inferences. Includes Project Description and assessment tools.
A Primer for Preproblem Ponderings: Anticipating the Answer
Karen Cohen, Thomasenia Adams
The value of anticipating the answer as a problem solving technique. Article discusses questions to ask about the form of an answer and its relationship to the conditions of the problem. Includes several examples useful for all students to develop a problem solving strategy.
Laptops, Technology and Algebra 1: A Case Study of an Experiment
Lawrence Levine, Victorina Wasmuth
An experiment conducted with two groups of students taking Algebra 1. Article discusses one group’s use of laptops within the classroom as part of the teaching/learning experience, while the other group does not. The differences in the learning experiences of the laptop group and the comparison group are discussed, and tentative conclusions about the results are drawn. Includes a sample technology survey.
Ron's Theorem and Beyond: A True Mathematician and GSP in Action
Armando Martínez-Cruz, Ron McAlister, Gerald Gannon
A middle school teacher's experience conjecturing a geometric result. Discusses using dynamic software to test conjectures and then writing proofs for the conjectures. Includes conjectures and proofs involving the Pythagorean Theorem.