Although modeling is an integral process in applied mathematics, students rarely encounter modeling opportunities in their calculus courses. We introduce a laboratory experience as a starting point for calculus students to investigate multivariable functions. A layered system of coffee and milk serves as a physical model for temperature gradients…

This paper presents a case study of how a teacher and nine-year-old students deal with mathematics in a practical technology project. By analysing videotaped dialogues between teacher and a pair of students working on constructing a house model, we identify challenges of meaningful inclusion of mathematics in the project. The dialogues are…

Instructors are constantly struggling to help students understand mathematical concepts as well as the relevance of mathematics to the real world. In calculus, students possess misconceptions of the limit concept. "Pushing the Limit" refers to a semester-long calculus class project that required students to read about, interview calculus…

This comprehensive book offers a practical pathway for developing twenty-first-century skills while simultaneously strengthening content-area learning. "Digital Learning" contains a wealth of research-based practices to integrate the International Society for Technology in Education (ISTE) National Education Technology Standards (NETS) for both…

Technology offers ample opportunities to bring reality into the classroom. Students and teachers nowadays have many tools to work in an authentic way with real data in mathematics and science education. However, much research and development are still needed to create a consistent learning trajectory out of the many exciting single activities.…

Describes the author's experiences teaching interdisciplinary English in three different configurations: one-woman English/social studies integration; one-woman English/mathematics integration; and two-women English/math/social studies integration. Discusses activities, successes, and failures of each, and shows how all three contribute to her…

Describes a year-long project for upper elementary-middle school students that incorporates mathematics, language skills, problem solving, and economics in a classroom business. Outlines the 13-step process that the author's students followed in planning and running a classroom candy store. (SR)

Project-based curricula have the potential to engage students' interests. But how do students become interested in the goals of a project? This article documents how a group of 8th-grade students participated in an architectural design project called the Antarctica Project. The project is based on the imaginary premise that students need to design…

Presented is an example that allows students to investigate trigonometric ideas in a simple and practical way. (PK)

Intended for primary teachers this booklet contains many hints for enriching classroom activities. It includes 100 ways to "publish" student writing and art work by using student created books, newspapers, magazines, letters, plays, notice boards, assembly reports, art and craft work, tape recordings, writing clubs, and "buy-a-book" days. Also…

Discusses a pedagogical approach to calculus based on the question: What kinds of problems should students be able to solve? Includes a discussion of types of problems and curriculum threads for such a course. Describes a projects-based calculus with examples of projects and classroom activities. (Author/MDH)

This paper describes two classroom activities and a project that supplement a Liberal Arts Mathematics course's coverage of logic and reasoning. The first classroom activity introduces the writing of inductive and deductive arguments, and the second activity involves analyzing a guest speaker's arguments. The project consists of using logic and…

Calculus can be taught using meaningful problems and active participation, with provocative problem situations and large-scale projects. An Ithaca College (New York) introductory calculus course uses this problem-based learning approach to develop understanding of central concepts (differentiation, integration, approximation) with less of the…

Discusses a theme-based project (third in a four-part series from the California Academy of Mathematics and Science) provoking critical thinking concerning meeting human needs through technology. Notes that students were "transported" back into the Middle Ages and had to raise money for their travel back to the future using science, mathematics,…

Asserts that social studies instruction can help teach mathematical reasoning skills through integrated activities. Recommends heterogeneous grouping to ensure that students have access to mathematics instruction. Includes four activities combining social studies content with mathematical skill instruction. (CFR)