Having children create and solve their own story problems is a valuable activity to use for them to think carefully about and apply a concept to create and solve a problem. Describes using two books to help children learn about the concept of multiplication. (ASK)

This article proposes a taxonomy of strategies for single-digit multiplication, then uses it to elucidate the nature of the learning tasks involved in multiplication. In preceding work, it has generally been assumed that much of children's strategy development is driven by changes in their general conceptual capabilities relating to number. In…

If the goal is to promote mathematical thinking and help children become flexible problem solvers, then it is important to show students multiple representations of a problem. Because it is important to help students develop both counting-based and collections-based conceptions of number, teachers should be showing students both number line…

This article describes a multisensory method for teaching students how to multiply and divide as well as add and subtract integers. The author uses sidewalk chalk and the underlying concept of integers to physically and mentally engage students in understanding the concepts of integers, making connections, and developing computational fluency.…

Research addressing the effectiveness of feedback for learning has focused on many dimensions of feedback, including the timing (Kulik & Kulik, 1988), type (Mory, 2004), and amount of available information (Dempsey et. al, 1993). Much of the feedback research in education has tacitly assumed that the available information is perceived, and any…

In an effort to examine the impact of the changes being made at San Jose State University (California) in the calculus curriculum, multiple measures were collected and analyzed. This study focuses on the relationship between performance on a pretest and the class grade. Through written responses on the pretest, a belief and knowledge profile for…

Assesses conditional states of item mastery found among items from different item domains and the effectiveness of various procedures for identifying such conditional relations. Item domains considered were from the curriculum area of multiplication of whole numbers, and were defined by a domain referenced testing system. (Author/RC)

Studies on distributive sentences by Weaver and by Hobbs are reviewed, with procedures and findings summarized. Data from Hobbs were reanalyzed to answer the question, to what extent did individual students tend to use the same solution method for all four types of open sentences? A one-way ANOVA indicated that there appeared to be no differential…

Four series of self-instructional elementary multiplication lessons were developed and tested on first-, second-, and third-grade students. The series were: (1) deductive-concrete, (2) deductive-pictorial, (3) inductive-concrete, and (4) inductive-pictorial. Students were given pretests and posttests and a retention test on the objectives of the…

This is one of a series of units intended for both preservice and inservice elementary school teachers to satisfy a need for materials on "new mathematics" programs which (1) are readable on a self basis or with minimal instruction, (2) show the pedagogical objectives and uses of such mathematical structural ideas as the field axioms,…

This study investigated two methods used to teach multidigit multiplication to fourth-grade students: the lattice method and the distributive method. Classes from four schools were randomly assigned so that the two treatment groups contained two each or urban, rural and inner city classrooms. A series of 15 lessons was prepared for each treatment…

The effects of several variables on the ability of students to solve open sentences involving multiplication and division were examined. The variables considered were sex, grade level, position of the unknown in the sentence, and operation. (SD)