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Cooper, Jason – ZDM: The International Journal on Mathematics Education, 2019
Teachers and mathematicians hold different perspectives on the teaching and learning of whole number arithmetic. Though these perspectives may be complementary, sharing them across communities is challenging. An unusual professional development course for primary school teachers, initiated and taught by research mathematicians, provided a setting…
Descriptors: Professional Personnel, Elementary School Mathematics, Elementary School Teachers, Numbers
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Ertle, Barbrina B. – Journal of Early Childhood Teacher Education, 2017
This article reports on the findings of manipulative analyses performed by preservice and in-service teachers in an early childhood teacher education program mathematics methods course. The activities are intended to model and promote mathematical analyses for better discrimination between mathematics manipulatives by early childhood teachers.…
Descriptors: Teaching Methods, Manipulative Materials, Mathematics Instruction, Preschool Teachers
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Polotskaia, Elena; Savard, Annie; Freiman, Viktor – EURASIA Journal of Mathematics, Science & Technology Education, 2015
This essay proposes a reflection on the learning difficulties and teaching approaches associated with arithmetic word problem solving. We question the development of word problem solving skills in the early grades of elementary school. We are trying to revive the discussion because first, the knowledge in question--reversibility of arithmetic…
Descriptors: Mathematics Instruction, Word Problems (Mathematics), Mathematical Logic, Elementary School Mathematics
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Fritz-Stratmann, Annemarie; Ehlert, Antje; Klüsener, Gabriele – South African Journal of Childhood Education, 2014
This paper argues for teaching pre-service teachers about remediation strategies for learners who encounter problems in mathematics in the early grades. The premise is that all teachers should be equipped with theory-based practical knowledge to support learning. A few teaching sessions to develop the concepts that underlie the mathematical…
Descriptors: Mathematics, Mathematics Instruction, Teaching Methods, Mathematical Concepts
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Rowland, Tim – For the Learning of Mathematics, 2012
This paper describes and analyses two mathematics lessons, one with very young pupils, about subtraction, the other for lower secondary school pupils, about gradients [slopes] and graphs. The focus of the analysis is on teacher knowledge, and on the fundamental mathematical and mathematics-pedagogical prerequisites that underpin teaching these…
Descriptors: Teacher Characteristics, Subtraction, Pedagogical Content Knowledge, Students
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Poncy, Brian C.; McCallum, Elizabeth; Schmitt, Ara J. – Psychology in the Schools, 2010
Although basic math skill deficits are commonly encountered across elementary and secondary school students, few empirically validated, group-administered interventions are available for educators attempting to prevent or remedy such problems. This study compared the effectiveness of two theoretically distinct interventions for improving the…
Descriptors: Constructivism (Learning), Intervention, Instructional Effectiveness, Secondary School Students
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Rao, Shaila; Kane, Martha T. – Education and Training in Developmental Disabilities, 2009
This study assessed effectiveness of simultaneous prompting procedure in teaching two middle school students with cognitive impairment decimal subtraction using regrouping. A multiple baseline, multiple probe design replicated across subjects successfully taught two students with cognitive impairment at middle school level decimal subtraction…
Descriptors: Prompting, Subtraction, Cognitive Processes, Mental Retardation
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Torbeyns, Joke; De Smedt, Bert; Stassens, Nick; Ghesquiere, Pol; Verschaffel, Lieven – Mathematical Thinking and Learning: An International Journal, 2009
Subtraction problems of the type a - b = ? can be "flexibly" solved by various strategies, including the indirect addition strategy ("how much do I have to add to b to get at a?"). Little research has been done on the use of the indirect addition strategy with multi-digit numbers. The present literature review entails a summary…
Descriptors: Elementary School Students, Young Adults, Subtraction, Learning Strategies
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Timmermans, Rudolf E.; Van Lieshout, Ernest C. D. M.; Verhoeven, Ludo – Learning and Instruction, 2007
Effects of guided (GI) and direct instruction (DI) in solving subtraction problems for mathematically low performers in regular schools were compared. In the GI condition, self-development of solution procedures was encouraged whereas in the DI condition one prescribed strategy was to be used. Forty children (M[subscript age] = 9.3 years) were…
Descriptors: Subtraction, Constructivism (Learning), Gender Differences, Mathematics Instruction
Miller, Karen A. Donk; Rule, Audrey C.; MacEntee, Virginia M. – Online Submission, 2008
All learners, including those who qualify for special education services, should have access to learning mathematical concepts. This study examined the efficacy of using hands-on sets of materials to teach two high school students with mental retardation the four situations for subtraction. This is a mixed methods study using a simple…
Descriptors: Mental Retardation, Student Interests, Pretests Posttests, Mathematical Concepts
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Smeets, Paul M.; And Others – Research in Developmental Disabilities, 1987
Evaluation of two methods, Stimulus Manipulation and Delay Feedback Only, for teaching four mildly handicapped students (ages 9-13) to solve missing minuend problems found both methods to be effective. However, systematic differences in error rate and long-term retention were observed, favoring the Stimulus Manipulation procedure. (Author/DB)
Descriptors: Elementary Secondary Education, Feedback, Instructional Effectiveness, Mathematical Applications
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Murata, Aki; Fuson, Karen – Journal for Research in Mathematics Education, 2006
The framework of Tharp and Gallimore (1988) was adapted to form a ZPD (Zone of Proximal Development) Model of Mathematical Proficiency that identifies two interacting kinds of learning activities: instructional conversations that assist understanding and practice that develops fluency. A Class Learning Path was conceptualized as a classroom path…
Descriptors: Teaching Methods, Grade 1, Computer Assisted Instruction, Asian Culture
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Case, Lisa Pericola; And Others – Journal of Special Education, 1992
Four fifth and sixth grade students with learning disabilities were taught a strategy for comprehending word problems and devising appropriate solutions. Following instruction performance on mixed sets of addition and subtraction word problems improved. Although generalization to a different setting occurred, maintenance was mixed. (Author/DB)
Descriptors: Addition, Generalization, Instructional Effectiveness, Intermediate Grades
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Mayer, Richard E.; And Others – American Educational Research Journal, 1995
This brief report compares the lessons on addition and subtraction of signed whole numbers in three seventh-grade Japanese mathematics texts and four U.S. mathematics texts. Japanese books contained many more worked-out examples and relevant illustrations, while U.S. books had more irrelevant illustrations and unsolved problems. (SLD)
Descriptors: Addition, Comparative Analysis, Foreign Countries, Grade 7
Ohlsson, Stellan – 1990
Prior research on learning has been linked to instruction by the derivation of general principles of instructional design from learning theories. However, such design principles are often difficult to apply to particular instructional issues. A new method for relating research on learning to instructional design is proposed: Different ways of…
Descriptors: Arithmetic, Artificial Intelligence, Cognitive Processes, Computer Simulation