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Xu, Chang; LeFevre, Jo-Anne; Di Lonardo Burr, Sabrina; Maloney, Erin A.; Wylie, Judith; Simms, Victoria; Skwarchuk, Sheri-Lynn; Osana, Helena P. – Journal of Numerical Cognition, 2023
Children's knowledge of the ordinal relations among number symbols is related to their mathematical learning. Ordinal knowledge has been measured using judgment (i.e., decide whether a sequence of three digits is in order) and ordering tasks (i.e., order three digits from smallest to largest). However, the question remains whether performance on…
Descriptors: Young Children, Numeracy, Number Concepts, Serial Ordering
Pittalis, Marios; Pitta-Pantazi, Demetra; Christou, Constantinos – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
The present study revalidated a measurement model describing the nature of early number sense. Number sense was shown to be composed of elementary number sense, conventional arithmetic and algebraic arithmetic. Algebraic arithmetic was conceptualized as synthesis of number patterns, restrictions and functions. Two hundred and four 1st grade…
Descriptors: Algebra, Arithmetic, Prediction, Teaching Methods
Montague-Smith, Ann; Price, Alison – Routledge, Taylor & Francis Group, 2012
This third edition of the best-selling "Mathematics in Nursery Education" provides an accessible introduction to the teaching of mathematics in the early years. Covering all areas of mathematics learning--number and counting, calculation, pattern, shape, measures and data handling--it summarises the research findings and underlying key concepts…
Descriptors: Mathematics Education, Early Childhood Education, Language Acquisition, Mathematics Instruction
Arizona Department of Education, 2009
Every student should understand and use all concepts and skills from the previous grade levels. The standard is designed so that new learning builds on preceding skills. Communications, Problem-solving, Reasoning & Proof, Connections, and Representation are the process standards that are embedded throughout the teaching and learning of all…
Descriptors: Numeracy, Number Concepts, Grade 3, Mathematics Education
Arizona Department of Education, 2009
Every student should understand and use all concepts and skills from the previous grade levels. The standard is designed so that new learning builds on preceding skills. Communications, Problem-solving, Reasoning & Proof, Connections, and Representation are the process standards that are embedded throughout the teaching and learning of all…
Descriptors: Numeracy, Number Concepts, Grade 5, Mathematics Education

Pike, Christopher D.; Forrester, Michael A. – Educational Psychology: An International Journal of Experimental Educational Psychology, 1997
Explores relative developmental influences of age, number-sense, and context on primary school children's ability to estimate measures. Finds that, although number-sense improved with age, estimation did not; ability to perceive number relations influenced ability to estimate area; and estimation was more accurate in textbook exercises than in a…
Descriptors: Age Differences, Cognitive Development, Context Effect, Estimation (Mathematics)

Lenton, Graham; Stevens, Brenda – School Science Review, 1999
Discusses key areas in science that require students to have a well-developed sense of numeracy for full understanding. Suggests that some of the difficulties students have with numeracy arise from not distinguishing between the teaching of facts and skills and teaching through conceptual understanding. Makes some recommendations for correcting…
Descriptors: Elementary Secondary Education, Graphs, Mathematical Concepts, Mathematics Skills
Arkansas State Dept. of Education, Little Rock. – 1998
This document consists of a sample curriculum model for Kindergarten mathematics based on the 1998 Arkansas State Mathematics Framework. The model is divided into five sections: (1) Number Sense, Properties, and Operations; (2) Geometry and Spatial Sense; (3) Measurement; (4) Data Analysis, Statistics, and Probability; and (5) Patterns, Algebra,…
Descriptors: Academic Standards, Geometry, Kindergarten, Mathematics Curriculum
Arkansas State Dept. of Education, Little Rock. – 1998
This document consists of a sample curriculum model for grade 1 mathematics based on the 1998 Arkansas State Mathematics Framework. The document is divided into five sections: (1) Number Sense, Properties, and Operations; (2) Geometry and Spatial Sense; (3) Measurement; (4) Data Analysis, Statistics, and Probability; and (5) Patterns, Algebra, and…
Descriptors: Academic Standards, Algebra, Geometry, Grade 1
Arkansas State Dept. of Education, Little Rock. – 1998
This document consists of a sample curriculum model for grade 2 mathematics based on the 1998 Arkansas State Mathematics Framework. The document is divided into five sections: (1) Number Sense, Properties, and Operations; (2) Geometry and Spatial Sense; (3) Measurement; (4) Data Analysis, Statistics, and Probability; and (5) Patterns, Algebra, and…
Descriptors: Academic Standards, Algebra, Geometry, Grade 2
Arkansas State Dept. of Education, Little Rock. – 1998
This document consists of a sample curriculum model for grade 3 mathematics based on the 1998 Arkansas State Mathematics Framework. The document is divided into five sections: (1) Number Sense, Properties, and Operations; (2) Geometry and Spatial Sense; (3) Measurement; (4) Data Analysis, Statistics, and Probability; and (5) Patterns, Algebra, and…
Descriptors: Academic Standards, Algebra, Geometry, Grade 3
Arkansas State Dept. of Education, Little Rock. – 1998
This document consists of a sample curriculum model for grade 4 mathematics based on the 1998 Arkansas State Mathematics Framework. The document is divided into five sections: (1) Number Sense, Properties, and Operations; (2) Geometry and Spatial Sense; (3) Measurement; (4) Data Analysis, Statistics, and Probability; and (5) Patterns, Algebra, and…
Descriptors: Academic Standards, Algebra, Geometry, Grade 4
Arkansas State Dept. of Education, Little Rock. – 1998
This document consists of a sample curriculum model for grade 5 mathematics based on the 1998 Arkansas State Mathematics Framework. The document is divided into five sections: (1) Number Sense, Properties, and Operations; (2) Geometry and Spatial Sense; (3) Measurement; (4) Data Analysis, Statistics, and Probability; and (5) Patterns, Algebra, and…
Descriptors: Academic Standards, Algebra, Geometry, Grade 5
Arkansas State Dept. of Education, Little Rock. – 1998
This document consists of a sample curriculum model for grade 6 mathematics based on the 1998 Arkansas State Mathematics Framework. The document is divided into five sections: (1) Number Sense, Properties, and Operations; (2) Geometry and Spatial Sense; (3) Measurement; (4) Data Analysis, Statistics, and Probability; and (5) Patterns, Algebra, and…
Descriptors: Academic Standards, Algebra, Geometry, Grade 6
Arkansas State Dept. of Education, Little Rock. – 1998
This document consists of a sample curriculum model for grade 7 mathematics based on the 1998 Arkansas State Mathematics Framework. The document is divided into five sections: (1) Number Sense, Properties, and Operations; (2) Geometry and Spatial Sense; (3) Measurement; (4) Data Analysis, Statistics, and Probability; and (5) Patterns, Algebra, and…
Descriptors: Academic Standards, Algebra, Geometry, Grade 7
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