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Allen, Frank B. | 35 |

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Books | 13 |

Guides - General | 9 |

Guides - Classroom - Learner | 8 |

Guides - Classroom - Teacher | 7 |

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Allen, Frank B.; And Others – 1965

This is part two of a two-part SMSG intermediate mathematics text for high school students. The aim of the text is to focus attention on mathematical ideas which are appropriate for study by college-capable students in the eleventh grade. Chapter topics include number systems, an introduction to coordinate geometry in the plane, the function…

Descriptors: Algebra, Curriculum, Geometry, Grade 11

Allen, Frank B.; And Others – 1960

This is part two of a two-part manual for teachers using SMSG high school text materials. Each chapter contains a commentary on the text, answers to the exercises, and a set of illustrative test questions. Chapter topics include exponential and logarithmic functions and circular functions. (MP)

Descriptors: Algebra, Curriculum, Curriculum Guides, Instruction

Allen, Frank B.; And Others – 1960

This volume is an experimental edition for a high school course in the theory of matrices and vectors. One of the basic aims is to demonstrate the structure of mathematics. Another criterion is to provide some tools that will be useful in the student's transition from school to college. A last objective is that the intellectually vigorous students…

Descriptors: Algebra, Experimental Programs, Mathematics Curriculum, Mathematics Instruction

Allen, Frank B.; And Others – 1962

This is part two of a three-part SMSG algebra text for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include addition and multiplication of real numbers, subtraction and division…

Descriptors: Algebra, Bilingual Education, Instructional Materials, Mathematics Curriculum

Allen, Frank B.; And Others – 1964

This is the teacher's commentary for part two of a three-part SMSG algebra text for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include addition and multiplication of real…

Descriptors: Algebra, Bilingual Education, Instructional Materials, Mathematics Curriculum

Allen, Frank B.; And Others – 1960

This is the third part of a three-part SMSG algebra text for high school students. Chapter titles include: Truth Sets of Open Sentences; Graphs of Open Sentences in Two Variables; Systems of Equations and Inequalities; Quadratic Polynomials; and Functions. (MK)

Descriptors: Algebra, Inequality (Mathematics), Mathematics Curriculum, Mathematics Instruction

Allen, Frank B.; And Others – 1963

This is part one of a two-part SMSG mathematics text for high school students. Topics include plane geometry, real numbers, triangles and angles, congruence, construction, parallel lines, perpendicular lines, and parallelograms. The text is written in Spanish. (RH)

Descriptors: Bilingual Education, Geometry, Instructional Materials, Mathematics Curriculum

Allen, Frank B.; And Others – 1963

This is part one of a two-part SMSG geometry text for high school students. One of the goals of the text is the development of analytic geometry hand-in-hand with synthetic geometry. The authors emphasize that both are deductive systems and that it is useful to have more than one mode of attack in solving problems. The text begins the development…

Descriptors: Analytic Geometry, Curriculum, Geometry, Instructional Materials

Allen, Frank B.; And Others – 1960

This is a supplementary unit to Mathematics for High School, Intermediate Mathematics, Part 1. In this publication, real numbers and rules for operating them are examined. The study begins by examining whole numbers and some of the properties of addition and multiplication of whole numbers. Most of the basic rules for algebra are developed from…

Descriptors: Algebra, Arithmetic, Instructional Materials, Number Concepts

Allen, Frank B.; And Others – 1961

Unit 9 in the SMSG's secondary school mathematics series is a student text covering the following topics in Algebra I: sets and the number line, numerals and variables, sentences and properties of operations, open sentences and English sentences, the real numbers, properties of addition, properties of multiplication, properties of order, and…

Descriptors: Algebra, Curriculum, Elementary Secondary Education, Instruction

Allen, Frank B.; And Others – 1961

Unit 10 in the SMSG's secondary school mathematics series is a student text covering the following topics in Algebra I: factors and exponents, radicals, polynomial and rational expressions, truth sets of open sentences, graphs of open sentences in two variables, systems of equations and inequalities, quadratic polynomials, and functions. (DT)

Descriptors: Algebra, Curriculum, Elementary Secondary Education, Instruction

Allen, Frank B.; And Others – 1961

This eleventh unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 9. First a general overview of the entire FIRST COURSE IN ALGEBRA (Units 9 and 10) is provided. Then, a time allotment for each of the chapters in Unit 9 is suggested. For each of the chapters in Unit 9, the goals for that chapter are discussed,…

Descriptors: Algebra, Curriculum, Elementary Secondary Education, Instruction

Allen, Frank B.; And Others – 1961

This twelfth unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 10. For each of the chapters in Unit 10 the goals for that chapter are discussed, the mathematics is explained, some teaching suggestions are provided, the answers to exercises are listed, and sample test questions for that chapter are suggested.…

Descriptors: Algebra, Curriculum, Elementary Secondary Education, Instruction

Allen, Frank B.; And Others – 1965

Unit 13 in the SMSG secondary school mathematics series is a student text covering the following topics in geometry: common sense and organized knowledge; sets, real numbers, and lines; lines, planes, and separation; angles and triangles; congruences; proof; geometric inequalities; perpendicular lines and planes in space; parallel lines in a…

Descriptors: Curriculum, Elementary Secondary Education, Geometry, Instruction

Allen, Frank B.; And Others – 1961

Unit 14 in the SMSG secondary school mathematics series is a student text covering the following topics in geometry: areas of polygonal regions, similarity, circles and spheres, characterization of sets, constructions, areas of circles and sectors, volumes of solids, and plane coordinate geometry. Appendices cover Eratosthenes' measurement of the…

Descriptors: Curriculum, Elementary Secondary Education, Geometry, Instruction