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A New Algorithm for Subtraction?
Peer reviewed Peer reviewed
Ikeda, Hitoshi; Ando, Masue – Arithmetic Teacher, 1974
Descriptors: Algorithms, Elementary School Mathematics, Instruction, Manipulative Materials
Subtraction: Regrouping with Flexibility
Peer reviewed Peer reviewed
Cacha, Frances B. – Arithmetic Teacher, 1975
A modified method of regrouping the minuend for subtraction is described. This more flexible method decreases the number of steps in the subtraction process and in checking the regrouping. (SD)
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Instruction
Mrs. Weill's Hill: A Successful Subtraction Method for Use with the Learning-Disabled Child.
Peer reviewed Peer reviewed
Weill, Bernice F. – Arithmetic Teacher, 1978
A concrete approach to subtraction problems with minuends to 19 is presented. (MP)
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Instruction
Renaming with a Money Model.
Peer reviewed Peer reviewed
Logan, Henrietta L. – Arithmetic Teacher, 1978
A six-step method of teaching subtraction by renaming is presented, using money as the learning vehicle. (MP)
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Instruction
Taking Ways.
Peer reviewed Peer reviewed
Kilburn, John – Mathematics in School, 1980
Two alternatives are given to the decomposition and equal addition subtraction algorithms. (MK)
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Mathematics Curriculum
How Do You Subtract?
Peer reviewed Peer reviewed
Brinkworth, Peter – Australian Primary Mathematics Classroom, 1998
Compares methods of subtraction used by children and teachers. Suggests ways to encourage children to invent their own subtraction algorithms. (CCM)
Descriptors: Algorithms, Arithmetic, Elementary Education, Foreign Countries
A Seven-Year-Old's Subtraction Technique.
Davies, H. B. – Mathematics Teaching, 1978
Described is a case in which a young student stumbles upon the "integer" technique for subtraction which differs from the techniques of decomposition and equal addition. (MN)
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Instruction
The Relative Effectiveness of Two Different Instructional Sequences Designed to Teach the Addition and Subtraction Algorithms
Peer reviewed Peer reviewed
Wiles, Clyde A.; And Others – Journal for Research in Mathematics Education, 1973
Second-grade students were randomly assigned to either an instructional unit within which addition and subtraction of two digit numbers were treated as a single integrated process of regrouping or one which developed the addition and subtractive algorithms sequentially. Periodic assessments favored the sequential approach, but differences were not…
Descriptors: Addition, Algorithms, Elementary School Mathematics, Instruction
Sharing Teaching Ideas.
Peer reviewed Peer reviewed
Mathematics Teacher, 1982
The following ideas are shared: (1) a low-stress subtraction algorithm that eliminates the traditional borrowing process, and (2) an approach to graphing circular functions that looks at the process of modifying simple functions as a series of shifting, sliding, and stretching adjustments, with its biggest advantage viewed as its generality. (MP)
Descriptors: Algorithms, Graphs, Instruction, Mathematics Instruction
Teaching Children to Add and Subtract.
Peer reviewed Peer reviewed
Gutstein, Eric; Romberg, Thomas A. – Journal of Mathematical Behavior, 1995
Reviews research using diagrams, number sentences, and algorithms to help students learn to add and subtract; poses questions on the relationship of instruction to children's knowledge construction; and proposes a research agenda in this area. (86 references) (MKR)
Descriptors: Addition, Algorithms, Arithmetic, Cognitive Processes
Preteaching versus Concurrent Teaching of Component Skills of a Subtraction Algorithm to Skill-Deficient Second Graders: A Components Analysis of Direct Instruction.
Kameenui, Edward J.; Carnine, Douglas W. – Exceptional Child, 1986
Significant differences were found favoring skill-deficient second-graders (N=10) provided with repeated preteaching trials on a selected component skill of a subtraction algorithm before they worked the entire algorithm over students (N=10) who, from the beginning of training, received systematic instruction on working the entire algorithm.…
Descriptors: Algorithms, Computation, Grade 2, Learning Problems
Subtraction by the "Dribble Method"
Peer reviewed Peer reviewed
Hamilton, E. W. – Arithmetic Teacher, 1971
Descriptors: Algorithms, Arithmetic, Elementary School Mathematics, Instruction
Is Self-Taught Well Taught?
Bennedbek, Birgitte – Mathematics Teaching, 1981
A process for helping students in the elementary grades develop their own algorithms for subtraction with carrying is described. Pupils choose their own times and ways to move from manipulative materials to written notation. (MP)
Descriptors: Algorithms, Arithmetic, Computation, Elementary Education
Subtraction: Decomposition versus Equal Addends.
Peer reviewed Peer reviewed
Sherrill, James M. – Arithmetic Teacher, 1979
This study was implemented to test the relative effectiveness of two subtraction procedures (decomposition and equal addends) with respect to accuracy in solving subtraction problems requiring regrouping. Results favor the decomposition approach. (MP)
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Mathematics Curriculum
Early Number.
Peer reviewed Peer reviewed
Idle, Marion – Mathematics in School, 1979
The importance of place value is discussed. Examples illustrating place value in addition and subtraction are given. (MK)
Descriptors: Addition, Algorithms, Elementary Education, Elementary School Mathematics
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