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Construction of Logical Knowledge: Study of Borrowing in Subtraction.
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Cauley, Kathleen M. – Journal of Educational Psychology, 1988
This study assessed the extent to which procedurally proficient children (N=34) construct the part/whole logical structure that underlies the borrowing algorithm in subtraction. Results indicate that an understanding of the part/whole logic of number may be necessary to understand place value and borrowing. (TJH)
Descriptors: Abstract Reasoning, Algorithms, Elementary School Mathematics, Elementary School Students
CSMP Mathematics for the Upper Primary Grades, Part III, Student Materials: Worksheets; Which Road?; Festival of Problems 1, 2; Fishing for Numbers, Part III; Road Map; 20?; Rollerskating 37.
CEMREL, Inc., St. Ann, MO. – 1979
These are some of the individual materials needed by students using the Comprehensive School Mathematics Program's Mathematics for the Upper Primary Grades, Part III. The book of "Worksheets" contains materials that are labeled with the same letter and number as the lessons with which they are to be used. The booklets "Festival of…
Descriptors: Addition, Algorithms, Drills (Practice), Elementary Education
CSMP Mathematics for the Upper Primary Grades, Part IV, Student Materials: Worksheets; Galaxy of Problems 1, 2, 3, 4; Fishing for Numbers, Part IV; To Picture; Subtraction Problems.
CEMREL, Inc., St. Ann, MO. – 1979
These are some of the individual materials needed by students using the Comprehensive School Mathematics Program for the Upper Primary Grades, Part IV. The book of "Worksheets" contains materials that are labeled with the same letter and number as the lessons with which they are to be used. The four "Galaxy of Problems"…
Descriptors: Addition, Algorithms, Drills (Practice), Elementary Education
The Arithmetic Project Course for Teachers - 2. Topics: Consecutive Jumps, Distances Jumped, Competing Number Line Rules. Supplement: Computing With Positive and Negative Numbers.
PDF pending restoration PDF pending restoration
Education Development Center, Inc., Newton, MA. – 1973
This is one of a series of 20 booklets designed for participants in an in-service course for teachers of elementary mathematics. The course, developed by the University of Illinois Arithmetic Project, is designed to be conducted by local school personnel. In addition to these booklets, a course package includes films showing mathematics being…
Descriptors: Algorithms, Computation, Elementary Education, Elementary School Mathematics
CSMP Mathematics for the Upper Primary Grades, Part III, Teacher's Guide: General Introduction, The World of Numbers, The Languages of Strings and Arrows, Geometry and Measurement, Workbooks. Final Experimental Version.
Heidema, Clare; And Others – 1979
This two-volume teacher's guide is to be used with a first-semester, third-grade mathematics program. The program is in large part the outgrowth of involvement with children and was influenced by information gathered in an extended pilot project conducted nationwide during 1975-79. The manner of presentation and the pedagogical ideas and tools are…
Descriptors: Addition, Algorithms, Diagrams, Elementary Education
CSMP Mathematics for the Upper Primary Grades, Part IV, Teacher's Guide: General Introduction, The World of Numbers, The Languages of Strings and Arrows, Geometry and Measurement, Workbooks. Final Experimental Version.
Heidema, Clare; And Others – 1979
This two-volume teacher's guide is to be used with a second-semester, third-grade mathematics program. The program is in large part the outgrowth of involvement with children and was influenced by information gathered in an extended pilot project conducted nationwide during 1975-79. The manner of presentation and the pedagogical ideas and tools…
Descriptors: Addition, Algorithms, Diagrams, Elementary Education
The Arithmetic Project Course for Teachers - 7. Topic: Lower Brackets. Supplement: Using Centimeter Blocks to Introduce Prime Numbers to a Third Grade.
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Education Development Center, Inc., Newton, MA. – 1973
This is one of a series of 20 booklets designed for participants in an in-service course for teachers of elementary mathematics. The course, developed by the University of Illinois Arithmetic Project, is designed to be conducted by local school personnel. In addition to these booklets, a course package includes films showing mathematics being…
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Elementary School Teachers