This research is a quasi-experimental study with the following objectives: 1) To examine the effectiveness of cooperative learning activities using the TAI technique combined with activity-based learning on the topic of congruence for students at Roi Et Rajabhat University, aiming to achieve the 75/75 efficiency criterion. 2) To compare…

Teachers can make number talks more ambitious and increase learning opportunities for students by debugging errors, promoting multi-student thinking, and orienting to make connections. This article describes the basic number talks routine and examines some common tendencies, such as "Serial Sharing." It concludes with a vignette to…

In this article we show how students' productive struggle on a mathematical task can lead to collective mathematical creativity. We use observable (co)actions and interactions from a video record that features three Grade 6 students in a problem-solving session to document the emergence of collective creativity leading to a solution. We discuss…

We discuss classroom activity comprised of small groups of students collaboratively tinkering with programs of dynamically manipulable figural models, posing problems regarding their mathematical properties and behaviors. We analyzed data from students' discourse taken from two classroom interventions employing a framework of creative mathematical…

This paper stems from calls for methodological advancement in two areas of research: primary mathematics education and dialogical education. We respond to these calls from the commognitive standpoint by introducing the "Grove of Realizations" as a tool for capturing and visualizing individual students' learning through collaborative work…

This study examines data from college students who worked in pairs to make decisions about a list of potential definitions of prime number. Analysis focused on the evidence each student pair cited when they decided whether or not a statement could be used as a definition for prime number. The purpose of this paper is to describe patterns in the…

Background: The purpose of this study was to measure the impact of interactive technology in the form of mathematical applications (apps) delivered using iPads on kindergarten children's learning of number sense in a play-based learning environment. Secondly, factors influencing the use of interactive technology in a play-based environment were…

The name of Zoltan P. Dienes (1916- ) stands with those of Jean Piaget, Jerome Bruner, Edward Begle, and Robert Davis as a legendary figure whose work left a lasting impression on the field of mathematics education. Dienes' name is synonymous with the multibase blocks that he invented for the teaching of place value. Among numerous other things,…

Investigates possibilities for and manifestations of collaborative work with pairs of kindergarten students as they worked on tasks designed to promote early number development. Students generated four strategies, and three themes emerged from the analysis of the cooperative solutions. Contains 34 references. (Author/ASK)

Focuses on student organization, preparation, and presentation of simple foods (beverage, brownies, sloppy-joe sandwiches) as a way to apply various mathematical concepts, with problem-solving techniques being central to almost all the activities. Includes reproducible student worksheets. (MKR)

This resource book represents shared experiences of Project LINCS' (Lead teachers INvolved in making ConnectionS) teachers and staff in addressing the question, "Are we teaching mathematics so that all students will be empowered to use it flexibly, insightfully, and productively?" and other fundamental questions that are driving change…

This paper presents a description of the different types of arguments that emerged as two students, working in a computerized environment, engaged in an investigation of several number theory concepts. The emerging arguments are seen as a result of the influence of the computerized environment together with collaborative learning. Using…

This publication is a resource for those who teach basic mathematics to adults. It assumes very little knowledge or formal mathematics by teachers, tutors and students and provides background, strategies and rationale for people inexperienced in teaching adult numeracy as well as new ideas for the experienced teacher. The worksheets and activities…

We present a case study of two students engaged in an investigation of number theory concepts in the computer environment, "Geoboard". The two students struggle with significant problems to communicate mathematics, and the computer plays a vital role in helping them overcome these difficulties. In fact, the students constantly use the screen…

This book is divided into eight sections. Section One, "A New Look at Mathematics: Rationale and Strategies for Reforming Mathematics", includes: An Overview of Mathematics Reform; Management for Computation Skills; Math Strategies for Individualized or Small Group Instruction; Math Strands Planning Activity; and Performance Assessment. Section…