NotesFAQContact Us
Collection
Advanced
Search Tips
Laws, Policies, & Programs
Assessments and Surveys
Showing all 9 results Save | Export
Peer reviewed Peer reviewed
PDF on ERIC Download full text
José Luis Cortina – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
We discuss the importance of bringing teaching to the forefront of instructional design. We do so by describing the process of developing an instructional sequence for early number, using design research. The instructional sequence was developed with the specific aim of supporting teaching, conceived as a complex and demanding job, not reducible…
Descriptors: Instructional Design, Educational Resources, Mathematics Instruction, Learning Trajectories
Peer reviewed Peer reviewed
Direct linkDirect link
White, Jonathan J. – PRIMUS, 2017
A problem sequence is presented developing the basic properties of the set of natural numbers (including associativity and commutativity of addition and multiplication, among others) from the Peano axioms, with the last portion using von Neumann's construction to provide a model satisfying these axioms. This sequence is appropriate for…
Descriptors: Numbers, Sequential Learning, Active Learning, Inquiry
Peer reviewed Peer reviewed
Direct linkDirect link
Merkley, Rebecca; Shimi, Andria; Scerif, Gaia – ZDM: The International Journal on Mathematics Education, 2016
It is not yet understood how children acquire the meaning of numerical symbols and most existing research has focused on the role of approximate non-symbolic representations of number in this process (see Piazza, ("Trends in Cognitive" 14(12):542-551, 2010). However, numerical symbols necessitate an understanding of both order and…
Descriptors: Mathematics, Mathematics Instruction, Symbols (Mathematics), Number Concepts
Bickerstaff, Susan; Edgecombe, Nikki – Community College Research Center, Teachers College, Columbia University, 2019
Adult proficiency in numeracy in the United States lags that of other developed nations, and the nonselective institutions that dominate the higher education sector struggle to address the learning needs of the sizeable proportion of students who enroll in their institutions and are deemed academically underprepared in mathematics. Research on…
Descriptors: College Students, College Mathematics, Remedial Mathematics, Developmental Studies Programs
Peer reviewed Peer reviewed
Direct linkDirect link
Palatnik, Alik; Koichu, Boris – For the Learning of Mathematics, 2015
The paper presents and analyses a sequence of events that preceded an insight solution to a challenging problem in the context of numerical sequences. A three­week long solution process by a pair of ninth­-grade students is analysed by means of the theory of shifts of attention. The goal for this article is to reveal the potential of this theory…
Descriptors: Attention, Grade 9, Attention Control, Educational Theories
Peterson, Susan K.; And Others – Learning Disabilities Research, 1988
The study compared two methods of teaching an initial place value skill: a concrete, semiconcrete, abstract teaching sequence and an abstract-only presentation. Learning-disabled elementary and middle school students (N=24) using the concrete to abstract teaching sequence performed significantly better on three posttests than students taught the…
Descriptors: Concept Formation, Elementary Education, Instructional Effectiveness, Learning Disabilities
Peer reviewed Peer reviewed
Butler, Frances M.; Miller, Susan P.; Crehan, Kevin; Babbitt, Beatrice; Pierce, Thomas – Learning Disabilities: Research & Practice, 2003
This study compared effectiveness of either a concrete-representational-abstract (CRA) or a representational-abstract (RA) instructional sequence in teaching fraction concepts to 50 middle school students with mathematics disabilities. On all achievement measures, students in the CRA group had overall higher mean scores than did students in the RA…
Descriptors: Fractions, Instructional Effectiveness, Learning Disabilities, Manipulative Materials
Peer reviewed Peer reviewed
Miller, Susan Peterson; And Others – Intervention in School and Clinic, 1992
This article presents the "concrete semiconcrete abstract" (CSA) teaching sequence for teaching basic math skills to students with and without learning disabilities. Guidelines include providing a minimum of nine instructional lessons (three at each level), each with four lesson steps. Validation of the CSA sequence and lesson format with 15…
Descriptors: Abstract Reasoning, Classroom Techniques, Concept Formation, Elementary School Mathematics
Peterson, Susan K.; And Others – 1989
This study evaluated the generally recommended concrete-to-abstract hierarchy for presenting a new skill, with three students with learning disabilities in grades 1, 2, and 4. The three subjects enrolled in the Multidisciplinary Diagnostic and Training Program's classroom housed on the University of Florida campus in Gainesville. Following…
Descriptors: Abstract Reasoning, Cognitive Development, Elementary Education, Elementary School Students