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Direct linkNewcombe, Nora S.; Levine, Susan C.; Mix, Kelly S. – Grantee Submission, 2015
There are many continuous quantitative dimensions in the physical world. Philosophical, psychological and neural work has focused mostly on space and number. However, there are other important continuous dimensions (e.g., time, mass). Moreover, space can be broken down into more specific dimensions (e.g., length, area, density) and number can be…
Descriptors: Correlation, Spatial Ability, Numbers, Teaching Methods
Tzur, Ron; Lambert, Matthew Allen – Journal for Research in Mathematics Education, 2011
Quantitative and qualitative analyses of 37 first-graders' solutions to addition problems were conducted to re-examine inconsistencies in children's progress from counting-all to counting-on. The authors applied the constructivist's participatory-anticipatory stage distinction as a tool for fine-grained assessment. Among solutions given by…
Descriptors: Constructivism (Learning), Arithmetic, Qualitative Research, Statistical Analysis
Sarama, Julie; Clements, Douglas – Young Children, 2009
Children's thinking follows natural developmental paths in learning math. When teachers understand those paths and offer activities based on children's progress along them, they build developmentally appropriate math environments. The authors explain math learning trajectories and why teaching math using the trajectories approach is effective. A…
Descriptors: Concept Formation, Mathematics Instruction, Elementary School Mathematics, Developmental Stages
Chinn, Steve – Routledge, Taylor & Francis Group, 2011
Now in a second edition, the award-winning "The Trouble with Maths" offers important insights into the often confusing world of numeracy. By looking at learning difficulties in maths from several perspectives, including the language of mathematics, thinking styles and the demands of individual topics, this book offers a complete overview of the…
Descriptors: Learning Problems, Numeracy, Short Term Memory, Word Problems (Mathematics)
Young-Loveridge, Jenny – Teachers and Curriculum, 2005
This paper looks at the issue of mathematics learning from a developmental perspective. It begins by focusing on the importance for teachers of understanding how mathematical thinking develops. The New Zealand Number Framework is used as an example of a developmental progression that is of particular relevance to the teaching of mathematics. The…
Descriptors: Mathematics Instruction, Foreign Countries, Numeracy, Interviews
Yawkey, Thomas Daniels – 1975
This article discusses the challenge mathematics educators face in deciding what and how mathematics is to be taught, and offers some suggestions for teachers of young children based on Piaget's developmental theory of mathematics. Piaget's cognitive stages are briefly described and the concrete stage, which spans the age range included in early…
Descriptors: Arithmetic, Classification, Cognitive Processes, Developmental Stages
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This document contains the second volume of the proceedings of the 30th Annual Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 60 research reports by presenters with last names beginning between Abr…
Descriptors: Program Effectiveness, Foreign Countries, Middle Schools, Textbooks
