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Taylor, Daniel; Moore-Russo, Deborah – MathAMATYC Educator, 2012
It is common for both algebra and calculus instructors to use power functions of various degrees as well as exponential functions to examine and compare rates of growth. This can be done on a chalkboard, with a graphing calculator, or with a spreadsheet. Instructors often are careful to connect the symbolic and graphical (and occasionally the…
Descriptors: Calculus, Graphs, Courseware, Technology Uses in Education
Porzio, Donald T. – 1997
This research focuses on the graphics calculator in calculus and its impact on students' abilities to work with graphical, numerical, and symbolic representations. Three courses are compared, two of which are taught with less emphasis on the use of graphing calculators. The format of the course emphasizing calculator use is more traditional than…
Descriptors: Calculators, Calculus, Concept Formation, Educational Strategies
Brinker, Laura – 1997
This paper describes how a target group of seven students in a combined fourth and fifth grade mathematics class used structured representations to solve fraction problems situated within various realistic contexts. Emphasis is given to the ways in which students' thinking about rational number concepts influences and is influenced by the…
Descriptors: Algorithms, Arithmetic, Cognitive Processes, Concept Formation
Jaworski, Barbara – 1997
This paper addresses dilemmas in the practices of six teachers from the perspective of alternate paradigms of knowledge growth, particularly constructivism. The dilemmas focus on the relationships between theory and practice in the growth of knowledge in learning and teaching mathematics. The data for this study are drawn from a four-year…
Descriptors: Concept Formation, Constructivism (Learning), Educational Strategies, Epistemology
Bishop, Joyce Wolfer – 1997
This study explores seventh- and eighth-grade students' thinking about mathematical patterns. Interviews were conducted in which students solved problems about sequential perimeter and area problems modeled with pattern blocks and tiles, generalized the relationships related to the patterns and represented the relationships symbolically,…
Descriptors: Algebra, Concept Formation, Educational Strategies, Junior High Schools
Yackel, Erna; Bowers, Janet – 1997
This paper examines students' mathematics learning in a social context as two versions of an instructional sequence designed to facilitate students' development of a conceptual foundation for place-value numeration are enacted in two third grade classrooms. The same instructional sequence is used in each classroom with the regular classroom…
Descriptors: Action Research, Case Studies, Classroom Environment, Cognitive Structures