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Patrick K. Kirkland; Ying Cheng; Nicole M. McNeil – Journal for Research in Mathematics Education, 2024
This Brief Report presents an example of assessment validation using an argument-based approach. The instrument we developed is a Brief Assessment of Students' Mature Number Sense, which measures a central goal in mathematics education. We chose to develop this assessment to provide an efficient way to measure the effect of instructional practices…
Descriptors: Test Construction, Test Validity, Mathematics Education, Measures (Individuals)
Landy, David; Brookes, David; Smout, Ryan – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2014
Formal algebras are among the most powerful and general mechanisms for expressing quantitative relational statements; yet, even university engineering students, who are relatively proficient with algebraic manipulation, struggle with and often fail to correctly deploy basic aspects of algebraic notation (Clement, 1982). In the cognitive tradition,…
Descriptors: Experimental Psychology, Algebra, Number Concepts, Equations (Mathematics)
Jung, Myoungwhon; Hartman, Paula; Smith, Thomas; Wallace, Stephen – International Journal of Instruction, 2013
Number relationships, which go far beyond counting skills, refer to the ability to represent a quantity in multiple, flexible ways. It is arguably among the most important mathematics concepts in number and quantity. The current study examined the effectiveness of number relationships instruction in preschool classrooms. Participants included 73…
Descriptors: Preschool Education, Preschool Children, Mathematics Instruction, Number Concepts
Levine, Susan C.; Suriyakham, Linda Whealton; Rowe, Meredith L.; Huttenlocher, Janellen; Gunderson, Elizabeth A. – Developmental Psychology, 2010
Prior studies indicate that children vary widely in their mathematical knowledge by the time they enter preschool and that this variation predicts levels of achievement in elementary school. In a longitudinal study of a diverse sample of 44 preschool children, we examined the extent to which their understanding of the cardinal meanings of the…
Descriptors: Mathematics Education, Academic Achievement, Numbers, Preschool Children
Exner, Robert; And Others – 1972
The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…
Descriptors: Curriculum, Experimental Curriculum, Individualized Instruction, Number Concepts
Exner, Robert; And Others – 1973
The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functionl-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…
Descriptors: Algebra, Curriculum, Experimental Curriculum, Individualized Instruction
Exner, Robert; And Others – 1973
The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…
Descriptors: Curriculum, Experimental Curriculum, Individualized Instruction, Mathematical Concepts
Exner, Robert; And Others – 1973
The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…
Descriptors: Curriculum, Experimental Curriculum, Individualized Instruction, Mathematical Applications
Exner, Robert; And Others – 1973
The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…
Descriptors: Curriculum, Diagrams, Experimental Curriculum, Individualized Instruction
Exner, Robert; And Others – 1973
The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…
Descriptors: Curriculum, Decimal Fractions, Experimental Curriculum, Individualized Instruction
Exner, Robert; And Others – 1973
One of 12 books developed for use with the core material (Book O) of the Elements of Mathematics Program, this text covers material well beyond the scope of the usual secondary mathematics sequences. These materials are designed for highly motivated students with strong verbal abilities; mathematical theories and ideas are developed through…
Descriptors: Curriculum, Experimental Curriculum, Individualized Instruction, Mathematical Concepts
Exner, Robert; And Others – 1973
The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…
Descriptors: Algorithms, Computer Programs, Computer Science Education, Curriculum
Exner, Robert; And Others – 1973
The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…
Descriptors: Cartography, Curriculum, Experimental Curriculum, Individualized Instruction