ERIC Number: EJ1044120
Record Type: Journal
Publication Date: 2013-Dec
Reference Count: 11
Adding It All Up: Reconceiving the Introduction of the Integral
Jones, Steven R.
Mathematics Teacher, v107 n5 p372-377 Dec 2013
Calculus instruction is an important topic for high school and college teachers alike. A prime target for attention is integration, which, unfortunately, students too often treat as a rote procedure. Understanding the integral better will support students' application of their mathematical knowledge to science, technology, and engineering courses. The article describes two tasks as examples of activities to provide students sense-making opportunities, which highlight an applied approach to understanding the integral (the example uses a burst pipe), involves physical quantities, and helps deepen the concept for students. Tese two tasks can supplement the introduction of integration in a beginning calculus course. These types of integrals are likely not found in the introductory chapters of calculus textbooks, so teachers may wish to develop similar activities of their own.
Descriptors: Mathematics Instruction, Calculus, Mathematical Concepts, Teaching Methods, Learning Activities, Concept Formation, Secondary School Mathematics, College Mathematics, High Schools, Graphs
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: email@example.com; Web site: http://www.nctm.org/publications/
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Secondary Education; Higher Education; Postsecondary Education; High Schools
Authoring Institution: N/A