Emerging Practices in Mathematics Education (1954 NCTM Yearbook)

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Contents

Preface

Part One: Various Provisions for Differentiated Mathematics Curriculums

1. Providing a Differentiated Curriculum Through a New Organization of Content

  • An Emerging Mathematics Curriculum by Charlotte Carlton
  • A Curriculum Development to Capitalize on the Interrelationships of the Many Areas of Mathematics by William Holt Glenn
  • The Development of a Differentiated Mathematics Curriculum by Dale Carpenter
  • Mathematics for the Consumer by Florence S. Mitchell and Veryl Schult

2. Providing DIfferentiated Curriculums in Schools Where Homogeneous Grouping is Feasible

  • A Differentiated Curriculum for Homogeneous Groups by Reuben A. Baumgartner
  • Using Homogeneous Grouping to Lead Pupils to Their Own Highest Level of Achievement
  • A Mathematics Program for Grade XII by Jackson B. Adkins

3. Providing Differentiated Curriculums in Schools Where Homogeneous Grouping is Not Feasible

  • Adjusting Work Within the Class to the Varying Abilities of its Members by Ona Kraft
  • Methods Used to Provide Differentiated Curriculums Within the Classroom by H. George Murphy
  • In Small High Schools, Many Purposes—Many Curriculums by Albert I. Oliver

4. Differentiated Curriculums Resulting from Pupil, Parent, Teacher, and Community Planning

  • Geometry Developed Through Pupil-Teacher Planning by Robert Castator
  • Working Together in Developing the Mathematics Curriculums by Lottchen Lipp Hunter

5. Guidance for the Optimum Use of Differentiated Curriculums

  • The Importance of Early Guidance at the Junior High Level by Alice M. Hach
  • Guidance in the Mathematics Program by Lee Irvin
  • The Matheamtics Teacher's Part in Effective Guidance for Optimum Use of Differentiated Curriculums by Douglass Brown

Part Two: Laboratory Teaching in Mathematics

  • Laboratory Techniques with Specific Practices by Sheldon S. Myers
  • Radio and Television in Teaching Mathematics by Walter Carnahan
  • Some Suggestions for the Use of Televisions in Teaching Mathematics by Phillip S. Jones
  • Review of the Literature on Radio and Television in Education by Louis F. Scholl
  • Handmade Materials for Teaching Arithmetic—Materials for Kindergarten Through Grade III by Ida Mae Heard
  • Materials for Grade IV Through Grade VI by Foster Grossnickle
  • Aids for Junior High Mathematics by Allene Archer
  • Illustrative Aids for the Senior High School by Frances M. Burns
  • Suggestions for Making Slides by Lauren G. Woodby
  • Principles Guiding the Use of Teacher- and Pupil-Made Learning Aids by Emil J. Berger

Part Three: Teacher Education

  • Preparation of Elementary Arithmetic Teachers by Lee Emerson Boyer
  • Background Mathematics for Teachers of Arithmetic by Francis Mueller and Harold Moser
  • The Use of Professional Laboratory Experiences in a Methods Course by Clarence Ethel Hardgrove
  • Student Teaching in Secondary-School Matheamtics at Illinois State Normal University by T. E. Rine
  • The Contribution of the Laboratory School Prior to Student Teaching by Alice Rose Carr
  • The Laboratory Method in Mathematics Education—A Summary by Daniel B. Lloyd
  • An Experiment in Clinical Procedures for Arithmetic by Lesta Hoel
  • Developmental Mathematics In New York City by Laura K. Eads
  • Inservice Education for Teachers of Matheamtics, Institutes—Workshops—Conferences by Kenneth Brown
  • Emerging Practices in Mathematics in Bethlehem, Pennsylvania by Ruth W. Overfield
  • Professional Classes of the Seattle Public Schools by Elizabeth J. Roudebush
  • Expanding Horizons in Mathematics by Nanette R. Blackiston, Eunice Bowers, Grover W. Norris, and S. Leroy Taylor

Part Four: New Emphases in Subject Matter

  • The New Emphasis in Teaching Geometry by Leroy H. Schnell
  • Nongeometric Exercises in Geometry by Myron F. Rosskopf
  • The Slope Concept Via Experimental Data by W. B. White
  • Mathematics in General Education at a State College by Jack D. Wilson
  • Einstein vs. Heisenberg—Shall We Discuss Current Mathematics? by Edna E. Kramer
  • Working With Approximate Data by Carl Shuster
  • Approximate Data—Terminology and Computation by William A. Gager

Part Five: The Evaluation of Mathematical Learning

1. Evaluation of Mathematical Meanings and Understandings

  • Illustrations and Test Items by Donovan Johnson and H. C. Trimble

2. Evaluation of Ability to Apply Mathematics

  • Emerging Practices in Evaluation of Elementary School Mathematics by Lowry W. Harding
  • Examples of Tests for the Evaluation of Geometrical Learning by Donovan Johnson

3. Evaluation of the Application of Mathematical Reasoning Standards to Nonmathematical Situations

  • Illustrations and Analyses by Bjarne R. Ullsvik and Harry Lewis

4. Evaluation of Attitudes and Appreciations

  • Techniques Used by Teachers for Evaluating or Testing of Attitudes and Appreciations in Mathematics by J. Wayne Wrightstone
  • Teaching and Measurement of Appreciation of Mathematics by Howard F. Fehr

5. Reporting to Parents

  • Pupil Progress by Alice M. Hach and Donovan Johnson

Part Six: Bibliography of "What is Going On In Your Schools?"— 1950-1953

J. A. Brown, Wisconsin High School, Madison, Wisconsin and J. R. Mayor, University of Wisconsin, Madison, Wisconsin

  • Curriculum
  • Elementary and Junior High School Mathematics
  • Fairs, Exhibits, and Contests
  • Geometry
  • Matheamtics of the Junior and Senior Years
  • Mathematics Clubs
  • Special Classroom Procedures and Teaching Aids
  • Statistical Studies

Selected References

Cite

APA 7

Clark. J. R. (Ed.). (1954). Emerging practices in mathematics education. National Council of Teachers of Mathematics