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Direct linkAshraf Alam; Atasi Mohanty – Cogent Education, 2024
This scholarly inquiry critically examines the pedagogical aspects pertaining to the instruction and acquisition of Abstract Algebra within the realm of University Mathematics Education (UME). Drawing upon multiple lenses, including epistemological, cognitive, phenomenological, and institutional perspectives, this study investigates the formidable…
Descriptors: Algebra, Mathematics Instruction, College Mathematics, Teaching Methods
Mathematical Tools for Real-World Applications: A Gentle Introduction for Students and Practitioners
Draganov, Alexandr – MIT Press, 2022
Techniques for applying mathematical concepts in the real world: six rarely taught but crucial tools for analysis, research, and problem-solving. Many young graduates leave school with a solid knowledge of mathematical concepts but struggle to apply these concepts in practice. Real scientific and engineering problems are different from those found…
Descriptors: Mathematical Concepts, Relevance (Education), College Mathematics, Engineering
Godino, Juan D.; Baternero, Carmen; Font, Vicenç – For the Learning of Mathematics, 2019
We present a synthesis of the Onto-semiotic Approach (OSA) theoretical system to mathematical knowledge and instruction, while highlighting the problems, principles and research methods that are addressed in this approach and considering the didactics of mathematics as a scientific and technological discipline. We suggest that Didactics should…
Descriptors: Problem Solving, Mathematics Instruction, Mathematical Concepts, Knowledge Level
Hawera, Ngarewa; Taylor, Merilyn – Australian Primary Mathematics Classroom, 2011
Developing critical numeracy is important in a society where mathematics plays a particular and significant role. One way of helping learners to develop the level of numeracy required to participate in society is by exploring ideas embedded in rich, accessible tasks. These can be linked to contexts that have relevance in their lives. One…
Descriptors: Teacher Role, Numeracy, Marketing, Mathematics Education
Peer reviewedKinsella, John J. – National Council of Teachers of Mathematics Yearbook (33rd), 1970
Discussed are the nature of a mathematical problem, problem solving in the traditional and modern mathematics programs, problem solving and psychology, research related to problem solving, and teaching problem solving in algebra and geometry. (CT)
Descriptors: Instruction, Learning, Mathematical Concepts, Problem Solving
Peer reviewedSteffe, Leslie P. – Arithmetic Teacher, 1971
Descriptors: Cognitive Development, Conservation (Concept), Elementary School Mathematics, Learning
PDF pending restorationHiggins, Jon L., Ed. – 1976
Abstracts of 28 research reports are provided. The reports were prepared by investigators for presentation at the 54th annual meeting of the National Council of Teachers of Mathematics. A broad range of topics related to mathematics education are covered. Three reports concern the effects of differing presentations of mathematics, four are related…
Descriptors: Algorithms, Attitudes, Evaluation, Instruction
Kilpatrick, Jeremy; Wirszup, Izaak – 1969
The series "Soviet Studies in the Psychology of Learning and Teaching Mathematics" is a collection of translations from the Soviet literature of the past twenty-five years on research in the psychology of mathematical instruction. Also included are works on methods of teaching mathematics directly influenced by this research. The aim of…
Descriptors: Comparative Analysis, Concept Formation, Educational Psychology, Instruction
PDF pending restorationHiggins, Jon L., Ed. – 1975
This volume contains abstracts of 33 research papers presented at the 53rd Annual Meeting of the National Council of Teachers of Mathematics. Most papers concerned instructional strategies; fourteen were concerned with sequencing of instruction and/or hierarchical analysis of learning. Four papers dealt with strategies for reviewing and…
Descriptors: Deduction, Evaluation, Geometry, Instruction
Download full textGinsberg, Rose – 1971
A series of experiments, all concerned with the topic of mathematical concept learning by the young child, were conducted. The concept mainly focused upon was that of inequalities. Five experiments were run. These are: (1) acquisition of mathematical concepts under experimental situation and in traditional pedagogical situation, (2) cued vs.…
Descriptors: Concept Formation, Learning Processes, Mathematical Concepts, Numbers
Nowak, Stanley Marion – 1969
A sequence of problem solving tasks of classification of geometric forms and biological organisms based on Piaget's theory of learning were developed and tested with elementary school children. One experiment involved third grade subjects with one treatment group directed to learn both simple and hierarchical operations, a second group directed to…
Descriptors: Child Development, Classification, Doctoral Dissertations, Grade 1
Stehlikova, Nada – International Group for the Psychology of Mathematics Education, 2003
In the study, a part of longitudinal research focused on the emergence of mathematical knowledge structures in a learner's mind is presented. It concentrates on the analysis of introspective data gained from the author's study of a non-standard arithmetic structure in terms of the model of abstraction in context (Hershkowitz, Schwarz and Dreyfus).…
Descriptors: Mathematics Education, Longitudinal Studies, Models, Interviews
Higgins, Jon L., Ed. – 1976
Abstracts of 36 research reports are provided. The reports were prepared by investigators for presentation at the 55th annual meeting of the National Council of Teachers of Mathematics. A broad range of topics related to mathematics education is covered. Nine reports deal with problem solving, eight are concerned with instructional methods, five…
Descriptors: Elementary Secondary Education, Evaluation, Geometry, Instruction
Ronis, Diane L. – Corwin Press, 2006
Students' brains are wired to make them natural, curious learners. The mathematical world around them offers a vast classroom, filled with shapes, spaces, quantities, and experiences to discover and explore, all leading to the construction of understanding. Teachers can use this natural curiosity to tap the inborn neural mechanisms that motivate…
Descriptors: Thinking Skills, Lesson Plans, Academic Standards, Technology Integration
