NotesFAQContact Us
Collection
Advanced
Search Tips
Showing all 9 results Save | Export
Beyond Building Blocks: A Reorganization of Mathematical Content
Peer reviewed Peer reviewed
Direct linkDirect link
Ana Patricia García-Amado; Maythe García-Rivero; José Luis Cruz-Canales; Rubén Abraham Moreno Segura; Asuman Oktaç – For the Learning of Mathematics, 2024
The aim of this study is to explore the possibility of introducing the general notions of function and inverse function through a mathematical activity on linear functions, focusing on the quantitative meaning associated to the connection between a relation and its inverse. We present a genetic decomposition, that is, a viable cognitive path for…
Descriptors: Mathematics Instruction, Teaching Methods, High School Students, Student Attitudes
The Method of Varying Inquiry for Stimulating Learning
Peer reviewed Peer reviewed
Direct linkDirect link
Swidan, Osama; Cusi, Annalisa; Robutti, Ornella; Arzarello, Ferdinando – For the Learning of Mathematics, 2023
This paper introduces a model built upon the Method of Varying Inquiry, offering a didactical approach to problem posing and solving activities that stimulates inquiry-based learning in mathematics classrooms. The model combines the inquiry-based framework with the variation theory and with specific didactical and theoretical elements (the…
Descriptors: Teaching Methods, Mathematics Instruction, Inquiry, Active Learning
Finding Learning in 'Off Task' Behavior: Artifacts, Agency and Second Stimuli
Peer reviewed Peer reviewed
Direct linkDirect link
Peck, Frederick A. – For the Learning of Mathematics, 2022
In this paper I analyze a problem solving event in a secondary mathematics classroom. As the event unfolds, the teachers, including me, understand the event as involving interactions that were not related to learning. By adopting an expansive view of learning, I advance a different interpretation, that the interactions tell a story of student…
Descriptors: Mathematics Instruction, Secondary School Students, Learning Processes, Personal Autonomy
The View from Below.
Peer reviewed Peer reviewed
Hawkins, David – For the Learning of Mathematics, 1980
An attempt is made to link the domain of mathematics and the natures and abilities of mathematicians to that which is perceptual, presentational, and implicit. (MP)
Descriptors: Cognitive Processes, Deduction, Learning Theories, Mathematical Concepts
The Stereotyped Nature of School Word Problems.
Peer reviewed Peer reviewed
Nesher, Pearla – For the Learning of Mathematics, 1980
Failure of most children to solve word problems beyond the simplest is seen to stem from two causes: failure to understand applied arithmetic and failure to relate problems to the real world. Relevant research is reviewed, and a route for new research is proposed. (MP)
Descriptors: Arithmetic, Basic Skills, Educational Research, Learning Theories
Ye Shall Be Known By Your Generations.
Peer reviewed Peer reviewed
Brown, Stephen – For the Learning of Mathematics, 1981
The need for improving the dialog between teacher and student is promoted as an important step towards improving the mathematics curriculum. (MP)
Descriptors: Educational Change, Elementary Secondary Education, Higher Education, Learning Theories
In Fostering Communities of Inquiry, Must It Matter That the Teacher Knows "The Answer"?
Peer reviewed Peer reviewed
Shoenfeld, Alan H. – For the Learning of Mathematics, 1996
Discusses the similarities in learning outcomes from two very different environments: a research group and a problem-solving course. Provides examples that characterize the two environments and that point to similarities in outcomes. Speculates about why such similarities exist. (DDR)
Descriptors: Context Effect, Course Content, Educational Environment, Higher Education
When is a Symbol Symbolic?
Peer reviewed Peer reviewed
Mason, John – For the Learning of Mathematics, 1980
The roles and uses of symbols in mathematical thinking are discussed. The thinking process is further subdivided into specialization, generalization, and reasoning. (MP)
Descriptors: Cognitive Processes, Discovery Learning, Inservice Teacher Education, Learning Theories
Integrating Theories for Mathematics Education.
Peer reviewed Peer reviewed
Bauersfeld, Heinrich – For the Learning of Mathematics, 1992
Discusses "connectionism," an alternative learning model wherein meaning resides in the function of the whole state of a network, rather than being localizable in certain symbols or areas. Topics discussed include integration with other learning models; the culture of the mathematics classroom; and characteristics of alternative…
Descriptors: Classroom Environment, Discovery Learning, Elementary Secondary Education, Instructional Innovation