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Sullivan, Peter; Russo, James – Australian Primary Mathematics Classroom, 2017
It is frequently surprising to new teachers (and even those with experience) when they find that not only do some children need to recount the group they have just counted to be assured of the total but also that this need seems to be resistant to intervention. Although moving from "counting-all" to "count-on" is sometimes…
Descriptors: Number Concepts, Computation, Teaching Methods, Mathematics Instruction
Murata, Aki; Stewart, Chana – Teaching Children Mathematics, 2017
Effective use of mathematical representation is key to supporting student learning. In "Principles to Actions: Ensuring Mathematical Success for All" (NCTM 2014), "use and connect mathematical representations" is one of the effective Mathematics Teaching Practices. By using different representations, students examine concepts…
Descriptors: Elementary School Mathematics, Elementary School Students, Grade 1, Mathematics Instruction
McDowell, Eric L. – Mathematics Teacher, 2016
By the time they reach middle school, all students have been taught to add fractions. However, not all have "learned" to add fractions. The common mistake in adding fractions is to report that a/b + c/d is equal to (a + c)/(b + d). It is certainly necessary to correct this mistake when a student makes it. However, this occasion also…
Descriptors: Fractions, Number Systems, Number Concepts, Numbers
Dixon, Juli K.; Tobias, Jennifer M. – Mathematics Teaching in the Middle School, 2013
What does it look like to "understand" operations with fractions? The Common Core State Standards for Mathematics (CCSSM) uses the term "understand" when describing expectations for students' knowledge related to each of the fraction operations within grades 4 through 6 (CCSSI 2010). Furthermore, CCSSM elaborates that…
Descriptors: Computation, Arithmetic, Preservice Teacher Education, Preservice Teachers

Flexer, Roberta J. – Teaching Exceptional Children, 1989
A strategy is presented for teaching arithmetic to students with mental retardation, based on subitizing, skill of recognizing number of objects in a set without actually counting, and pattern recognition. The strategy helps children understand concept of addition by representing number configurations on 5-frames and 10-frames, and reduces need…
Descriptors: Addition, Elementary Education, Mental Retardation, Number Concepts

Thompson, Charles S.; Van de Walle, John – Arithmetic Teacher, 1984
How the manipulative aid called the "10 frame" can be used to teach the number combinations for 10, the addition facts that bridge 10, and the place value nature of our number system is described. (MNS)
Descriptors: Addition, Elementary Education, Elementary School Mathematics, Learning Activities

Australian Primary Mathematics Classroom, 2000
Presents two activities on addition, one for classifying and one for symmetry. (ASK)
Descriptors: Addition, Classification, Elementary Education, Elementary School Mathematics

Shropshire Mathematics Centre – Mathematics in School, 1991
Young children benefit from activities that involve various partitions of numbers, especially the number 10. Presented are two activities that require students partition and recombine numbers to solve problems in a gamelike situations. Examples and worksheets are provided. (MDH)
Descriptors: Addition, Elementary Education, Enrichment Activities, Mathematical Enrichment

DiDomenico, Angelo S. – Mathematics Teacher, 1985
Deriving all Pythagorean triples from simple patterns within an addition table is presented, with formulas included. (MNS)
Descriptors: Addition, Geometric Concepts, Learning Activities, Mathematics
Femiano, Robert – 1998
This guide contains classroom-tested problems designed to introduce and reinforce mathematical concepts in a quick, "fun" way. Activities emphasize the logic and reasoning skills needed to build a strong foundation in mathematics. The problems are thinking activities and require only elementary level mathematics skills. Activities are…
Descriptors: Addition, Arithmetic, Elementary Education, Mathematics Activities

Owens, Katherine D.; Sanders, Richard L. – Mathematics Teaching in the Middle School, 2000
Introduces the whole number machine and describes its use as an odometer in an addition game. Presents an activity in which students learn mathematics while they fly across the globe. (Contains 12 references.) (ASK)
Descriptors: Addition, Educational Games, Elementary School Mathematics, Mathematics Activities

Lappan, Glenda, Ed. – Arithmetic Teacher, 1987
Described is a procedure for teaching children to learn to count on with finger patterns after they have learned to count with objects. The technique has been found to be successful with children of all ability levels at grades one and two. (RH)
Descriptors: Addition, Computation, Elementary Education, Elementary School Mathematics

Litwiller, Bonnie H.; Duncan, David R. – Arithmetic Teacher, 1985
Three activities and patterns involving the addition table are described, each involving pentagons. (MNS)
Descriptors: Addition, Drills (Practice), Elementary Education, Elementary School Mathematics

Flexer, Roberta J. – Arithmetic Teacher, 1986
Five-frames are proposed as manipulative material to increase children's ability to identify the number of objects without direct counting. How to use frames and beansticks to construct basic facts without counting is discussed. (MNS)
Descriptors: Addition, Computation, Elementary Education, Elementary School Mathematics

Nagel, Nancy G.; Swingen, Cynthia Carol – Teaching Children Mathematics, 1998
Presents student comments as they explain their mathematical reasoning and thinking about place value in addition and subtraction. (ASK)
Descriptors: Addition, Arithmetic, Concept Formation, Elementary Education
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