Talk moves simulations were used in tutorials for a mathematics education unit. Pre-service teachers (PSTs) and tutors were surveyed about their perceptions of the purposes, benefits, and drawbacks of the simulations. There was strong support from both groups for the benefits of talk moves in developing PSTs' ability to manage discussions, ask…

Analysis of mathematical notations must consider both syntactical aspects of symbols and the underpinning mathematical concept(s) conveyed. We argue that the construct of "syntax template" provides a theoretical framework to analyse undergraduate mathematics students' written solutions, where we have identified several types of…

We describe the difficulties advanced undergraduate and graduate students have with concepts related to addition of angular momentum in quantum mechanics. We also describe the development and implementation of a research-based learning tool, Quantum Interactive Learning Tutorial (QuILT), to reduce these difficulties. The preliminary evaluation…

This paper reports research on student produced screencasts to support learning. Participants in a Mathematics for Teachers course were asked to create and peer critique screencasts to explain concepts (year 4 to 9 level). They were also asked about their experience with screencasting and its impact on their own teaching and learning. This paper…

This dissertation explores fifth and eighth grade students' interpretations of three kinds of mathematical representations: number lines, the Cartesian plane, and graphs of linear functions. Two studies were conducted. In Study 1, I administered the paper-and-pencil Linear Representations Assessment (LRA) to examine students'…

For online mathematics instructors, synchronous communication can be a challenge due to the need for specialized symbols, graphics, or notations to explain key concepts. While software tools exist to support such communication, they can often be cumbersome and time-consuming for users to adopt in online exchanges. As one way of addressing this…

In the fall of 2005 the Maui Educational Consortium began a project that was funded through the Math Science Partnership program to implement the "Cognitive Tutor[R]" (CT) program, published by Carnegie Learning, in some of the Algebra 1 classes in the Maui School District and at the Maui Community College. At that time, Empirical…

Several major factors must be considered when developing or assessing tutorial microcomputer software for mathematics instruction. Both learning considerations and curriculum considerations are discussed in some detail. (MNS)

Interpreting information regarding health risks, crime statistics, and government polls requires some ability to use and interpret probabilities. Studies have shown that even after training or coursework in probability and statistics, people still have many difficulties solving probability problems. The thesis of this document is that helping…

This final report summarizes research findings and presents a model for generative computer assisted instruction (CAI) with respect to its usefulness in the classroom environment. Methods used to individualize instruction, and the evolution of a procedure used to select a concept for presentation to a student with the generative CAI system are…

Provides an annotated list of references on specific topics covering computers in general science and math. Topics include: artificial intelligence, CAI, LOGO, a heat capacity experiment, microcomputer tutorials, a Monte Carlo simulation, factoring, a geology simulation, polynomials, spreadsheets, a gas model simulation, integers, and…

Reviews three software packages: (1) "Physics," tutorial, grades 11-12, Macintosh; (2) "Hands On Math: Volume I," interactive math exploration/simulation of manipulatives use, grades K-7, Apple II; and (3) "A.I.: An Experience with Artificial Intelligence," simulation, grades 5-12, Apple II. (MVL)

Forty randomly selected, nonvolunteer, low achieving ninth graders selected from four classes in an inner city junior high school, were assigned the role of tutor to elementary school children in order to determine if this practice was promising as a method of compensatory education. In three of the four classrooms, the tutors and nontutors…