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Direct linkBurazin, Andrijana; Kajander, Ann; Lovric, Miroslav – International Journal of Mathematical Education in Science and Technology, 2021
Continuing our critique of the classical derivation of the formula for the area of a disk, we focus on the limiting processes in geometry. Evidence suggests that intuitive approaches in arguing about infinity, when geometric configurations are involved, are inadequate, and could easily lead to erroneous conclusions. We expose weaknesses and…
Descriptors: Mathematical Formulas, Mathematics Instruction, Teaching Methods, Geometry
Beigie, Darin – Mathematics Teaching in the Middle School, 2011
Initial exposure to algebraic thinking involves the critical leap from working with numbers to thinking with variables. The transition to thinking mathematically using variables has many layers, and for all students an abstraction that is clear in one setting may be opaque in another. Geometric counting and the resulting algebraic patterns provide…
Descriptors: Pattern Recognition, Geometric Concepts, Algebra, Mathematics Instruction
Ranucci, Ernest R. – Mathematics Teaching in the Middle School, 2007
This reprinted "Mathematics Teacher" article gives a brief history of the mathematics of Escher's art. (Contains 9 plates.)
Descriptors: Pattern Recognition, Art Products, Mathematics Education, Teaching Methods
Peer reviewedFarrell, Margaret A. – Arithmetic Teacher, 1969
Descriptors: Elementary School Mathematics, Geometric Concepts, Geometry, Instruction
Peer reviewedNorman, F. Alexander – Arithmetic Teacher, 1991
A series of activities involving figurate numbers that allow students at various levels to integrate numerical, geometric, arithmetic, patterning, measuring, and problem-solving skills are presented. A discussion of the geometric and numerical aspects of figurate numbers is included. Appended are IBM Logo procedures that will create pentagonal…
Descriptors: Arithmetic, Elementary Education, Elementary School Mathematics, Geometry
Peer reviewedFord, Marilyn Sue; Crew, Caroline Gibson – Arithmetic Teacher, 1991
Presented are simple activities that can be completed by students at home with the help of a parent. Activities include the topics of sorting, patterning, counting and numbers, geometry, adding, subtracting, and measuring. Each activity describes a series of sequenced tasks related to one of the topics. (KR)
Descriptors: Arithmetic, Educational Games, Elementary Education, Geometry
Peer reviewedLitwiller, Bonnie H.; Duncan, David R. – Arithmetic Teacher, 1991
Presented are four activities which allow students to work with rhombus patterns. These activities encourage students to search for, test, and verify patterns and to also practice computation and work with ratios. Diagrams needed for each activity are included. (KR)
Descriptors: Computation, Geometry, Junior High Schools, Learning Activities
Peer reviewedTaylor, Lyn; And Others – Arithmetic Teacher, 1991
Presented are practical activities relevant to teaching mathematics in the American Indian culture that can be used in the non-Indian classroom. Discussed are tessellations, exercises that allow for artistic creativity and geometric exploration. The use of Pascal's triangle is included. (KR)
Descriptors: American Indian Culture, Cultural Awareness, Elementary Education, Elementary School Mathematics
Burton, Grace; And Others – 1991
The "Curriculum and Evaluation Standards for School Mathematics" (1989) provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. The document not only addresses what mathematics students should…
Descriptors: Arithmetic, Concept Formation, Curriculum Development, Curriculum Enrichment
Burton, Grace; And Others – 1992
The "Curriculum and Evaluation Standards for School Mathematics" (1989) provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. The document not only addresses what mathematics students should…
Descriptors: Arithmetic, Concept Formation, Curriculum Development, Curriculum Enrichment
Burton, Grace; And Others – 1992
The "Curriculum and Evaluation Standards for School Mathematics" (1989) provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. The document not only addresses what mathematics students should…
Descriptors: Arithmetic, Concept Formation, Curriculum Development, Curriculum Enrichment
Burton, Grace; And Others – 1992
The "Curriculum and Evaluation Standards for School Mathematics" (1989) provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. The document not only addresses what mathematics students should…
Descriptors: Arithmetic, Concept Formation, Curriculum Development, Curriculum Enrichment
Burton, Grace; And Others – 1991
The "Curriculum and Evaluation Standards for School Mathematics" (1989) provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. The document not only addresses what mathematics students should…
Descriptors: Arithmetic, Concept Formation, Curriculum Development, Curriculum Enrichment
Meiring, Steven P.; And Others – 1992
The 1989 document, "Curriculum and Evaluation Standards for School Mathematics," provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. When completed, it is expected that the Addenda Series will…
Descriptors: Concept Formation, Core Curriculum, Curriculum Design, Curriculum Development
Burton, Grace; And Others – 1992
The 1989 document, "Curriculum and Evaluation Standards for School Mathematics," provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. This book, one in a series designed to interpret and…
Descriptors: Concept Formation, Curriculum Enrichment, Data Collection, Discovery Learning
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