Many teachers of required secondary school mathematics classes are introducing statistics and probability topics traditionally relegated to college or AP Statistics courses. As a result, they need guidance in preparing lesson plans and orchestrating effective classroom discussions. In this article, the authors will describe the students' learning…

If students are going to develop reasoning and thinking skills, use their mathematical knowledge, and recognize the relevance of mathematics in their lives, they need to experience mathematics in meaningful ways. Only then will their mathematical skills be transferrable to all other parts of their lives. To promote such flexible mathematical…

This article describes investigative calculus projects in which students explore a question or problem of their own construction. Three exemplary pieces of student work are showcased. Investigative calculus projects are an excellent way to foster student understanding and interest in calculus. (Contains 4 figures.)

Methods are suggested for encouraging high school students to write mathematics research papers. Sources for information are discussed, a general outline for the paper is given, grading procedures are described, and several topics for reports are listed. (DT)

Presents a question designed to launch a discovery journey through conjecture, research, serendipitous encounters, proof, answers, and new questions. Reports some discoveries and suggests ways in which to incorporate this strategy into classrooms. Presents a geometry project that incorporates this problem-solving approach to mathematics. (JRH)

Describes a student project that enables students to experience problem-solving strategies and construct their own understandings of the problem-solving strategies by researching the problem-solving process itself, uncovering and defining strategies that they can subsequently use to solve problems, and exploring the impact that attitude has on…

A mathematics project promoting an exploratory approach to mathematical problems as well as an organization and application of mathematical knowledge is described. (JT)

Project questions are real-world problems with multiple solutions, no obvious solution sequence, requiring hands-on data collection, and investigation of topics within and outside mathematics. Discusses evaluation of solution processes, describes a detailed example involving the trajectory of a baseball, and suggests 19 other project questions.…

Presented is an activity which shows how mathematics is used in real life and helps to establish a need for mathematics in students' futures. Adapted from a scavenger-hunt idea, this activity helps students to discover that almost every career makes use of mathematics. (KR)

Presents a student project that requires students to create a puzzle involving some form of manipulative and present it to the class with an advertisement. Uses writing to have students report on their progress. (MDH)

High school mathematics project in which students interviewed guest speakers about the mathematics used in their jobs. Students wrote five real world problems based on the mathematics used by the person interviewed. The class worked through the problems and found that estimation was often a helpful strategy. (PDD)

Described is a student-produced bulletin board that illustrates that mathematics is a universal language and that mathematics is being created around the world. Presented are two approaches for resolving a problem involving three equations and three unknowns. (KR)

Proposes using student projects to show students how mathematics can be applied to their lives by using statistics. Students identify a topic of interest to them and their community, collect data, discuss the analyzed data in a written report, and present the reports at the local senior-citizen center. (MDH)