This case study involves one public school in a suburb of a major metropolitan area, focusing on one classroom of first grade students selected from a pool of volunteer classrooms. The first grade class of students, during their regular mathematics instruction, were given three tasks by their teachers designed to elicit a productive struggle…

Understanding how students develop learning opportunities through peer-to-peer interaction is vital for advancing research and practice on collaborative learning environments. This study investigated the discourse practices middle grade students utilized to resolve conflict in ways that promoted or inhibited learning opportunities. Seventy-seven…

We are in a period of unknowns unlike any in a generation or more. As educators, we need new pathways and ideas that can help us educate children for the world to come. "Reimagining the Classroom: Creating New Learning Spaces and Connecting with the World" provides practical steps and examples that parents and educators can use to begin…

"Improving Mathematics in the Early Years and Key Stage 1" reviews the best available evidence to offer five recommendations for developing the maths skills of 3-7-year olds. Recommendations include integrating maths into different activities throughout the day -- for example, at registration and snack time -- to familiarise children…

This book uncovers the important issues in language learning and teaching in the intelligent, digital era. "Social connectivity" is a contemporary style of learning and living. By engaging in the connectivity of physical and digital worlds, how essential parts of language learning and teaching can be achieved? How can the advanced…

Games of analysis or logical thinking are important reinforcers of various mathematics topics with children, and here the author suggests some games you might use. (Editor/RK)

This study explores how adults' perspectives, intentions, blockages, resistance, and fascinations are reconstructed during a mathematics course in adult basic education. These aspects are discussed as important building blocks for developing theory in adult educational research. Adult mathematics education was compared in different institutional…

Discussed is the importance of establishing the link between students' understanding of mathematics in real world settings and the symbolism used to represent that mathematics. Examples provide evidence that students and sometimes teachers fail to establish that link. References are given for resources providing strategies and contexts to assist…

Several common errors reflecting difficulties in probabilistic reasoning are identified, relating to ambiguity, previous outcomes, sampling, unusual events, and estimating. Knowledge of these mistakes and interpretations may help mathematics teachers understand the thought processes of their students. (MNS)

Objectives are defined in a manner that eliminates many of their attributes that have been criticized as being harmful or unappealing. Examples of objectives appropriate for secondary school mathematics are given and the relationship between classroom processes and objectives is discussed. (MK)

Use of manipulatives is neither a sufficient nor a necessary condition for meaningful learning. Provides some incidents in support of the argument. Lists 14 references. (YP)

Reviews recent research related to metacognition and mathematical problem-solving performance. Offers suggestions for classroom activities to teach the skills of metacognition (i.e., plan, monitor, and evaluate thinking) in the context of mathematics. Offers instructor observations and students' self-evaluations about the types of metacognitive…

Discusses the organization and retrieval of information. Describes the tip-of-the-tongue state during mathematics problem solving. Provides five rules for a deep level of processing of new concepts. (YP)

Focuses on the effects of the application of two problem-solving techniques--metacognitive and heuristic--on the achievement of students in the computation of creative mathematics problems. Results indicate that there was a significant difference in the achievement of experimental and control groups. Contains 24 references. (Author/ASK)

Contributes to the emerging picture of children's development of understanding in geometry and the kinds of teaching that can support it. Describes how teachers can use episode writing to capture student thinking and make instructional decisions. (ASK)