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Yerushalmy, Michal – Educational Studies in Mathematics, 2000
Analyzes student construction of function-based problem solving methods in introductory algebra. Describes longitudinal observation of a pair of students that studied algebra for three years using the function approach including intensive use of graphing technology. Offers terms for describing and explaining what and how do learners appreciate and…
Descriptors: Algebra, Computer Uses in Education, Educational Technology, Functions (Mathematics)
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Yerushalmy, Michal – International Journal of Computers for Mathematical Learning, 1999
While many technological capabilities are under development and may turn out to be an optimal future microworld, it is necessary to study the current widespread solution of supporting exploration and learning of school algebra with packages of mathematics software components. Describes and discusses software tools for school algebra. (Contains 45…
Descriptors: Algebra, Computer Software, Computer Uses in Education, Educational Technology
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Yerushalmy, Michal; Gilead, Shoshana – Educational Studies in Mathematics, 1999
Develops and tests a function-based approach to algebra called the Visual Mathematics curriculum in grades 7-9. Presents a theoretical framework for a systemic investigation of the structures of algebra word problems and their relationship to function-based solutions. Suggests new insights into categorizing word problems. (Contains 19 references.)…
Descriptors: Algebra, Functions (Mathematics), Mathematics Curriculum, Mathematics Instruction
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Yerushalmy, Michal; Gilead, Shoshana – Mathematics Teacher, 1997
Describes an algebra course organized around the concept of function and based on intensive use of technology. Includes an explanation of the assessment sequence used to explore students' use of familiar representations and procedures to reason logically and to solve and communicate about unfamiliar tasks. (DDR)
Descriptors: Algebra, Computer Software, Course Content, Educational Strategies
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Yerushalmy, Michal; Gafni, Rina – Learning and Instruction, 1992
Effects of graphic representations of algebraic functions on performance of tasks involving expression transformations were studied for 28 teachers debugging transformed expressions through syntactic manipulations (SYMs) or semantic interpretation (SEI). Those using SEI improved performance using graphs. Some positive effects of graphic feedback…
Descriptors: Algebra, Comparative Analysis, Computer Assisted Instruction, Debugging (Computers)
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Yerushalmy, Michal – Cognition and Instruction, 1997
Used software environment to examine algebra students' attempts to reformulate narratives using verbal and iconic lexical sets. Described how natural language text turns into a script of events and processes, how the qualitative graphic description of the script is sketched using iconic notations, and how the graph turns into a subject for…
Descriptors: Early Adolescents, Elementary Education, Graphs, Mathematical Concepts