"Numeracy," so-called on analogy with literacy, is essential for making health and other social judgments in everyday life [Reyna, V. F., & Brainerd, C. J. (in press). The importance of mathematics in health and human judgment: Numeracy, risk communication, and medical decision making. "Learning and Individual Differences."]. Recent research on…

David Schwartz's classic book "How Much Is a Million?" can be the catalyst for sparking many interesting mathematical investigations. This article describes five episodes in which children in grades 2-5 all heard this familiar story read aloud to them. At each grade level, they were encouraged to think of their own way to explore the concept of…

"Focus in Grade 1: Teaching with Curriculum Focal Points" describes and illustrates learning paths for the mathematical concepts and skills of each grade 1 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate…

This booklet offers teacher instructions and student worksheets on number activities for gifted primary grade students. Three sections are included: (1) "moving numbers" which asks students to supply the missing member or members of addition and subtraction equations; (2) "number trails," which involve the completion of number…

This activity book was designed especially for the classroom teacher who is constantly on the lookout for unique and interesting ways to challenge the students' learning capacity in the area of elementary mathematics. The material presented here places a strong emphasis on defining the particular skills to be covered in each activity. All the…

The SCOPE Mathematics Achievement Test booklet for grade 5 presents 11 mathematical concepts with instructions for students to take the test with little or no teacher direction. Testing items include: writing number words; reading and writing numerals in sequence from 0.001 to 100,000; adding and subtracting whole numbers; multiplying up to four…

The purpose of the two studies reported was to develop and validate clinical assessment instruments designed to identify both the progress of learners through a hierarchy of mathematics content and the mode of presentation through which learners can best handle the content. In Study 1, 73 second graders were given one of two forms of a 15-item…

This volume consists of the following ten papers, which were presented at the second Hokan-Yuman Languages Workshop, held at the University of California at San Diego in June 1976: (1) "The Havasupai Writing System," by Rena Crook, Leanne Hinton, and Nancy Stenson; (2) "The Upland Yuman Numeral System," by Martha B. Kendall;…

This guide contains an outline of topics to be included in individual subject areas in secondary school mathematics and some specific suggestions for teaching them. Areas covered include--(1) fundamentals of mathematics included in seventh and eighth grades and general mathematics in the high school, (2) algebra concepts for courses one and two,…

This book is part 1 of a 2-part manual for teachers using SMSG text materials for grade 6. The purpose for each of 5 chapters is stated and mathematical background for the teacher is presented. Detailed lesson plans are then provided, including sequences of statements and questions, activities, and exercise sets with answers. Needed materials and…

The title of this mathematics text for preservice elementary teachers is intended to suggest the book's theme of mathematics as an abstraction from human experience with sticks (lines, segments), stones (sets, counting) and other objects. An introductory chapter which describes the objectives of the author and discusses learning and attitudes…

The primary aim of this guide is to aid teachers in planning and preparing a senior high school mathematics course for students preparing for college work. It is divided into separate one-semester courses of seven chapters each. The first-semester course consists of a traditional approach to the introduction of trigonometry and trigonometric…

This curriculum guide for grades K-6 is the first volume of a two-part series. It is meant to provide an ordered sequence of mathematical concepts from which teachers may organize an arithmetic program allowing for individual student progress with the greatest amount of individual attention. Each topic is arranged into levels based on the topic's…

This paper seeks to formulate a principle that explains the working of the Japanese number system with respect to Japanese nouns and that defines the kinds of nouns and contexts that condition the forms of number expressions. It is the author's theory that in applying numbers to nouns, the Japanese make a formal distinction between things they…

MIDDLE-CLASS, FIRST-GRADE STUDENTS (100) WERE TESTED INDIVIDUALLY ON 4 ITEMS OF CONCEPT OF ADDITION AND CONSERVATION OF NUMBER. THE TEST ITEMS WERE IDENTICAL EXCEPT FOR THE NUMBER OF OBJECTS INVOLVED. FOR EACH ITEM, TWO PILES OF CANDY WERE PLACED BEFORE EACH CHILD AND THEN MOVED TOGETHER. THE STUDY SHOWED NO MAJOR DIFFERENCE IN THE MEAN…