The standards for accreditation of public schools, adopted by the Arkansas State Board of Education, required the development of these course content guides. The standards also required that essential skills be identified for each course taught in the public schools of Arkansas. Committees of classroom teachers, curriculum specialists, principals,…

Presented are review questions and exercises for several mathematics topics. The first five sections cover the following major topics of the course: algebra, geometry, logic, probability, and statistics. Each of these five units follows a similar format. Each major topic is broken into several subtopics, with examples for each topic taken from…

This 1981 yearbook of the National Council of Teachers of Mathematics (NCTM) offers classroom ideas for teaching statistics and probability, viewed as important topics in the school mathematics curriculum. Statistics and probability are seen as appropriate because they: (1) provide meaningful applications of mathematics at all levels; (2) provide…

This two-volume teacher's guide is to be used with a second-semester, sixth-grade mathematics program. The manner of presentation and the pedagogical ideas and tools are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings ("papygrams") and models of our numeration system (the…

"Gedankensimulation" is a term adapted from Einstein's "thought experiments" to indicate mentally created simulations that can help conceptualize ideas. Presents seven examples of simulations that can be utilized to solve problems or illustrate concepts in probability and statistics. Problem contexts include games of chance,…

This resource book represents shared experiences of Project LINCS' (Lead teachers INvolved in making ConnectionS) teachers and staff in addressing the question, "Are we teaching mathematics so that all students will be empowered to use it flexibly, insightfully, and productively?" and other fundamental questions that are driving change…

Research Ideas for the Classroom is a three-volume series of research interpretations for early childhood, middle grades, and high school mathematics classrooms. Each volume looks at research from the perspective of the learner, the content, and the teacher, and chapters are co-authored by a researcher and a teacher. Chapter titles in the high…

This document is designed to assist teachers and administrators in Texas in the planning and implementation of the course known as Computer Mathematics I. The philosophy and intent of the course is stated, along with credit allowed, prerequisite guidelines, guidelines for teacher preparation, suggested equipment needs, sample objectives, sample…

This USMES unit challenges students to construct practical shapes which can be used as dice to make a fair decision between two or among three, four, or more choices. The teacher resource book for the Dice Design unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems,…

Eleven lectures on simulation and gaming delivered at a symposium in Western Canada are presented. Three articles concern ways of gaining knowledge about the effectiveness of the simulation method in teaching. Several articles describe the use of simulation in teaching specific areas: home economics education, agricultural engineering, and…

The information in this supplementary notebook is intended to provide teachers with additional materials, ideas and suggestions, and activities to help in implementing the first 21 units of the Applied Mathematics modules that help develop and refine job-related mathematics skills. An introduction lists the 36 units of the complete Applied…

This book contains 15 chapters: (1) "Teaching Problem Solving"; (2) "Using Calculators and Computers in Elementary School Mathematics"; (3) "Organizing for Instruction"; (4) "Teaching Numeration of Whole Numbers"; (5) "Teaching Numeration of Common and Decimal Fractions"; (6) "Teaching Addition and Subtraction of Whole Numbers"; (7) "Teaching…

This is part two of a two-part School Mathematics Study Group (SMSG) textbook. The text serves as a means to prepare teachers to teach the SMSG text "Mathematics for Junior High School." The eight chapters found in part two are: (1) Primes and Factors; (2) Decimals, Ratios, and Percents; (3) The Real Number System; (4) Non-Metric…

Proposes an alternative means of approximating the value of complex integrals, the Monte Carlo procedure. Incorporating a discrete approach and probability, an approximation is obtained from the ratio of computer-generated points falling under the curve to the number of points generated in a predetermined rectangle. (MDH)

Described is an introductory probability and statistics class focused on teaching the concepts of sampling and binomial distributions through a strategy based on teacher and student generated simulation using the Boxer computer language. The value of integrating programing with teaching subject matter is demonstrated, and sample student work is…