This article challenges the traditional model for teaching computation in the primary grades. It describes a model in which students are encouraged to invent and use alternative computation procedures.

The aim of the 2018 International Association for Development of the Information Society (IADIS) Cognition and Exploratory Learning in the Digital Age (CELDA) conference was to address the main issues concerned with evolving learning processes and supporting pedagogies and applications in the digital age. There have been advances in both cognitive…

This book provides regular classroom and special education teachers with alternative, individualized methods of teaching math computation skills. Learning activities are designed to appeal to auditory, visual, and kinesthetic learning modalities. Six mathematics topics addressed include modeling addition and subtraction, basic facts for addition…

The relationships among types of errors observed during probability problem solving were studied. Subjects were 50 graduate students in an introductory probability and statistics course. Errors were classified as text comprehension, conceptual, procedural, and arithmetic. Canonical correlation analysis was conducted on the frequencies of specific…

The question addressed here is how to integrate computational tools, namely interactive general-purpose platforms, in the teaching of process units. Mathematica has been selected as a complementary tool to teach distillation processes, with the main objective of leading students to achieve a better understanding of the physical phenomena involved…

Use of low-stress algorithms to reduce the cognitive load on students is advocated. The low-stress algorithm for addition developed by Hutchings is detailed first. Then a variation on the usual algorithm is proposed: adding from left to right, writing the partial sum for each stage. Next, a "quick addition" method for adding fractions proposed by…

This study investigated the effectiveness of finger mathematics with elementary pupils in second grade. The sample consisted of 56 pupils located in a lower socioeconomic area of Chicago. Half the pupils were taught using the finger method; the other half experienced the traditional textbook paper-and-pencil method. The results indicated that…

The application of the programmable calculator to evaluating complicated formulas is illustrated by considering the formula for finding the area of any triangle when only the lengths of the three sides are known. Other advantages of the programmable calculator are discussed such as freeing the student to explore more challenging problems and…

This experiment was conducted to determine the efficiency of three forms of an algorithm of known effectiveness and the effects of its availability following initial instruction. The dependent variable was time to solve computational problems requiring rule application. The algorithm was presented in three forms: prose, flowchart, and gradual…

The purpose of this study was to determine whether the use of electric calculators offered an effective remedy for the lack of success and the corresponding negative attitude of the low achiever in mathematics. Two hundred and one low achievers were randomly scheduled into one of five control sections or into one of five experimental sections.…

Assumptions frequently made about learning disabled children are discussed, with many teaching suggestions provided. (MN)

Brown's 1933 diagnostic test was used as a screening examination for 79 psychology students to determine their areas of weakness in statistical calculations, and to see whether the difficulties of a previous era have been changed by methods of teaching mathematics today. General similarities were found. (LBH)

The use of counting sticks as a concrete manipulative material in the development of number understanding and the concept of place value is strongly urged. (JT)

Defines one approach to problem solving in terms of student use of algorithms to find their solutions and gives examples. Discusses how problems and algorithms relate to each other. Describes strategies for teaching problem solving using algorithms. (CW)

Practical tips are presented for teaching concepts related to percentage and the integration of powers of "e." (PK)