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Duncan, David R.; Litwiller, Bonnie H. – Mathematics Teacher, 1971
Descriptors: Instruction, Mathematics, Number Concepts, Teaching Methods
Litwiller, Bonnie H.; Duncan, David R. – Mathematics Teaching, 1974
An activity which involves the drawing of geometric designs on familiar number arrangements (such as the addition and multiplication tables and the hundred chart) is used to help students discover patterns and at the same time maintain computation skills. (DT)
Descriptors: Instruction, Learning Activities, Mathematics Education, Number Concepts

Duncan, David R.; Litwiller, Bonnie H. – Mathematics Teacher, 1973
Descriptors: Algebra, College Mathematics, Mathematics, Number Concepts

Litwiller, Bonnie H.; Duncan, David R. – School Science and Mathematics, 1972
Strategies for winning in the game of NIM are discussed and explained through applying a base 2 representation for the numbers involved. (DT)
Descriptors: Game Theory, Games, Mathematical Enrichment, Mathematics

Duncan, David R.; Litwiller, Bonnie H. – School Science and Mathematics, 1995
Presents a situation in which differential calculus is used with inverse trigonometric tangent functions to maximize an angle measure. A negative distance measure ultimately results, requiring a reconsideration of assumptions inherent in the initial figure. (Author/MKR)
Descriptors: Calculus, Mathematics Education, Mathematics Instruction, Misconceptions

Litwiller, Bonnie H.; Duncan, David R. – School Science and Mathematics, 1974
Descriptors: Addition, Elementary School Mathematics, Instruction, Mathematical Enrichment

Litwiller, Bonnie H.; Duncan, David R. – School Science and Mathematics, 1973
A recreational activity providing practice in computation is described. Examples are provided and the underlying mathematics is analyzed. (DT)
Descriptors: Elementary School Mathematics, Instruction, Mathematical Enrichment, Mathematics Education

Litwiller, Bonnie H.; Duncan, David R. – School Science and Mathematics, 1974
Descriptors: Congruence, Integers, Mathematical Concepts, Mathematical Enrichment

Litwiller, Bonnie H.; Duncan, David R. – Arithmetic Teacher, 1974
Descriptors: Elementary School Mathematics, Games, Instruction, Learning Activities
Duncan, David R.; Litwiller, Bonnie H. – Teacher, 1973
Describes several activities to provide opportunity for the discovery of number patterns and shows the need for care in the descriptions of such patterns. (Author)
Descriptors: Elementary School Mathematics, Mathematical Enrichment, Mathematics, Mathematics Education

Duncan, David R.; Litwiller, Bonnie H. – Two-Year College Mathematics Journal, 1973
The problem of determining the number of squares on a checkerboard is extended to finding the number of rectangles on an n x n board and finding the total numbers of cubes and rectangular solids in an n x n x n cube. (DT)
Descriptors: College Mathematics, Geometric Concepts, Mathematical Enrichment, 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

Duncan, David R.; Litwiller, Bonnie H. – Mathematics Teacher, 1986
This teaching guide contains material, for students in grades 6-9, in which a calculator is used in exploring and developing generalizations about quotient patterns generated from various polygons drawn on a hundred square. Includes suggested procedures and four ready-to-duplicate student worksheets. (JN)
Descriptors: Calculators, Elementary School Mathematics, Intermediate Grades, Junior High Schools

Litwiller, Bonnie H.; Duncan, David R. – Australian Mathematics Teacher, 1984
Three activities on the right justified multiple triangle are presented. The activities are designed for use in practicing computational skills and for discovering number patterns. (JN)
Descriptors: Computation, Elementary School Mathematics, Intermediate Grades, Junior High Schools

Duncan, David R.; Litwiller, Bonnie H. – School Science and Mathematics, 1973
Descriptors: Addition, Elementary School Mathematics, Integers, Mathematical Enrichment
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