We share ideas for preparing for and enacting high-cognitive demand tasks in ways that support students in articulating and justifying their ideas. We offer strategies for developing and posing several types of purposeful questions: (1) eliciting thinking, (2) generating ideas, (3) clarifying explanations, and (4) justifying claims.

How do engineering students approach mathematical modelling problems and how can they learn to deal with such problems? In the context of a course in mathematical modelling and problem solving, and using a qualitative case study approach, we found that the students had little prior experience of mathematical modelling. They were also inexperienced…

This evidence-based practice overview on Video Modeling (VM) includes the following components: (1) Overview: A quick summary of salient features of the practice, including what it is, who it can be used with, what skills it has been used with, and settings for instruction; (2) Evidence-base: The "VM Evidence-base" details the NPDC…

The purpose of this study was to explore the concept of play through the eyes of talented and gifted (TAG) fifth- and sixth-grade students. Three focus groups consisting of fifth- and sixth-grade TAG students were conducted in one urban, one suburban, and one rural school district in the Midwest. Students were asked to describe the value of play…

This book shows how to increase one's power to analyze and comprehend problems. First, it outlines and illustrates the methods that good problem solvers use in attacking complex ideas. Then it gives some practice in applying these methods to a variety of questions in comprehension and reasoning. Chapters include: (1) "Test Your Mind--See How…

The purpose of this study was to examine and better understand the social cognitive effects of digital technology on teenagers' brains and their socialization processes, as well as to learn best practices with regard to digital technology consumption. An extensive literature review was conducted on the social cognitive effects of digital…

In this project, a plan for solving word problems based on the students' level of development was developed. A 10-week implementation of a plan for solving word problems at the concrete level of development included the use of a flow chart or plan to map out and solve word problems. Students then used the flow chart and manipulatives to develop…

A majority of studies on learning disabilities have focused on elementary grades. Although problems with learning disabilities are life-affecting only a few studies focus on deficits in adults. In this study adults with isolated mathematical disabilities (n = 101) and adults with combined mathematical and reading disabilities (n = 130) solved…

This practicum addresses the need to organize a structured problem solving program for fifth and seventh grade students. The improvement of the students' problem solving skills and the enhancement of students' attitudes toward problem solving in mathematics were the main goals. The program implemented consisted of a structured problem solving…

This module is part of a training program for foster parents and foster care workers offered at Colorado State University. The module's learning objectives address: (1) child development within the context of family and social development; (2) the stages of cognitive, social, emotional, moral, and physical development; (3) the range of normal…

Results of a systematic investigation into university students' (n=236) misunderstandings of d.c. simple circuit operations are reported. These results provide evidence of various misconceptions present before and after teaching the following topics: a battery as a source of constant current; the functional relation expressed by Ohm's law; power…

This study sought to determine the basis for young children's understanding of fundamental addition and subtraction processes, and to expose any limitations on such arithmetic reasoning. Thirty-six two-year-olds and 36 three-year-olds participated in six experiments which examined children's relational quantity judgments about pairs of arrays in…

The document provides the revised curriculum guide for Project SOCRATES, a program designed for academically gifted students in grades 4 and 5. The guide is organized according to the project's four goal areas: development of creative thinking, for casting, reasoning, and planning and decision making. Under each goal are listed objectives and…

Discusses the importance of teacher intervention in the use of Logo in elementary and junior high schools, emphasizing a process-oriented approach to teaching. The use of worksheets, questioning techniques, and providing a socially reflective and interactive environment are described, and a checklist to see if criteria are being successfully met…

This handbook is a guide and reference document for those researching the child data files of the 1986-1990 National Longitudinal Survey of Youth, sponsored by the Bureau of Labor Statistics. It describes the child data collection procedures, the nature of the child sample, the child data files available, and the specifics of the child assessments…