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Keisar, Einav; Peled, Irit – Research in Mathematics Education, 2018
Children in a first-grade class who were taking their first steps in formal mathematical knowledge were given a sequence of five modelling tasks during their regular mathematics lessons. These tasks were different in nature from the problems they encountered in their textbooks. They are more complex and challenging, requiring analysis of the…
Descriptors: Grade 1, Sequential Approach, Task Analysis, Mathematics Activities
Peled, Irit; Keisar, Einav – International Journal of Mathematical Education in Science and Technology, 2015
In this action research, first-graders were challenged to cope with a sequence of modelling tasks involving an analysis of given situations and choices of mathematical tools. In the course of the sequence, they underwent a change in the nature of their problem-solving processes and developed modelling competencies. Moreover, during the task…
Descriptors: Coping, Task Analysis, Tables (Data), Grade 1
Champagne, Zachary M.; Schoen, Robert; Riddell, Claire M. – Teaching Children Mathematics, 2014
Early elementary school students are expected to solve twelve distinct types of word problems. A math researcher and two teachers pose a structure for thinking about one problem type that has not been studied as closely as the other eleven. In this article, the authors share some of their discoveries with regard to the variety of…
Descriptors: Elementary School Students, Word Problems (Mathematics), Problem Solving, Teaching Methods
Fritz, Annemarie; Ehlert, Antje; Balzer, Lars – South African Journal of Childhood Education, 2013
A common theme of models of conceptual growth is to establish the hierarchical structures of abilities that can be interpreted along developmental lines. Integrating the literature on the development of mathematical concepts and skills in children, a comprehensive 6 level model for describing, explaining and predicting the development of key…
Descriptors: Mathematical Concepts, Item Response Theory, Comparative Analysis, Mathematics Education
Karp, Karen; Caldwell, Janet; Zbiek, Rose Mary; Bay-Williams, Jennifer – National Council of Teachers of Mathematics, 2011
What is the relationship between addition and subtraction? How do individuals know whether an algorithm will always work? Can they explain why order matters in subtraction but not in addition, or why it is false to assert that the sum of any two whole numbers is greater than either number? It is organized around two big ideas and supported by…
Descriptors: Subtraction, Mathematics Instruction, Addition, Mathematical Concepts
Common Core State Standards Initiative, 2011
For over a decade, research studies of mathematics education in high-performing countries have pointed to the conclusion that the mathematics curriculum in the United States must become substantially more focused and coherent in order to improve mathematics achievement in this country. To deliver on the promise of common standards, the standards…
Descriptors: Mathematics Curriculum, Mathematics Education, State Standards, Mathematics Achievement