For any density function (or probability function), there always corresponds a "cumulative distribution function" (cdf). It is a well-known mathematical fact that the cdf is more general than the density function, in the sense that for a given distribution the former may exist without the existence of the latter. Nevertheless, while the…

A core component of informal statistical inference is the recognition that judgments based on sample data are inherently uncertain. This implies that instruction aimed at developing informal inference needs to foster basic probabilistic reasoning. In this article, we analyze and critique the now-common practice of introducing students to both…

"Achieving Fluency" presents the understandings that all teachers need to play a role in the education of students who struggle: those with disabilities and those who simply lack essential foundational knowledge. This book serves teachers and supervisors by sharing increasingly intensive instructional interventions for struggling students on…

In Volume 23(2) of the "Australian Senior Mathematics Journal," Boncek and Harden present an exercise in fitting a Markov chain model to rainfall data for Darwin Airport (Boncek & Harden, 2009). Days are subdivided into those with precipitation and precipitation-free days. The author abbreviates these labels to wet days and dry days.…

Suggestions are given for teaching function notation, fractional calculations on a calculator, division to relucant learners, and a probability problem. (MK)

Presents various simple activities to use with two-color counters as a vehicle for teaching concepts such as observation, classification, counting, recording, graphing, developing relational language, number sense, and beginning ideas of probability. (AIM)

The computer is in the process of becoming an important aid to the teaching of statistics and probability at the middle and secondary levels. Examples show ways in which the computer can facilitate learning of mathematical concepts through tutoring, simulation, and computation. (JN)

This annotated bibliography includes activities with calculators in the areas of computational skills, geometry, measurement, number pattern recognition, and probability. (MK)

Potential instructional uses of the computer for expanding middle school mathematics programs are described. Content areas which are represented include geometry, number theory, computation, consumer education, and probability. (Author/JN)

Presents three traditional problems from discrete mathematics with alternative solutions and discussion of those solutions. (PK)

This document suggests sources from children's literature useful in teaching a variety of mathematical concepts. The mathematical concepts discussed are: (1) numbers and numeration; (2) place value; (3) shapes; (4) addition and subtraction; (5) multiplication and division; (6) telling time; (7) probability, estimation and prediction; (8) fractions…

This document compiles an "honest list" of what is needed for adult numeracy. The first section consolidates the four posited Massachusetts Adult Basic Education (ABE) Math Standards into three adult numeracy themes: relevance/connections, problem solving/reasoning/decision making, and communication. A discussion of each theme is followed by some…

Reviews following computer materials: Coordinate Math; How the West Was One + Three x Four; Math Facts Lottery, Basic Skills Game; Math Tutor, Division; Now You See It, Now You Don't; Pinball Math, Basic Skills Game; Place Value-Add/Subtract; Quarter Mile; Regrouping; Sailing through Story Problems; Scope Math, Computer Mathematics Course for…

This handbook is intended to contribute to the development of a theory of remedial instruction that can be easily understood and assimilated by teachers. The document evolved from research and workshop activity over a period of several years. It is designed for use by those with instructional or supervisory reponsibilities in elementary schools,…

This volume of the 30th annual proceedings of the International Group for the Psychology of Mathematics Education conference presents: plenary panel papers; research forum papers; short oral communication papers; and poster presentation papers from the meeting. Information relating to discussion groups and working sessions is also provided.…