Evidence from the Higher Order Thinking Skills (HOTS) program suggests that at-risk students show little understanding of content without first receiving concentrated instruction in understanding itself. Teaching thinking skills to at-risk students requires a thinking environment, consisting of exploratory conversations, stimulation of curiosity,…

Examines children's understanding of what variables and relations are important in problem structures, and their use of these variables and relations in problem solving. (HOD)

Describes a programming environment called Tinker, in which a beginning programmer presents examples to the machine, distinguishing accidental and essential aspects of the examples. Examples of programming in Tinker are presented in which programmers demonstrate how to handle specific examples and the machine formulates a procedure for handling…

This is a qualitative study of 22 9th graders performing generalizations on a task involving linear patterns. Our research questions were: What enables/hinders students' abilities to generalize a linear pattern? What strategies do successful students use to develop an explicit generalization? How do students make use of visual and numerical cues…

This book is designed to help adults gain the range of math skills they need to succeed in life and work and on standardized tests, including the GED. It is expected to help students overcome math anxiety, discover math as interesting and purposeful, and develop good number sense. Lessons are organized around four strands: (1) skill lessons that…

This book is designed to help better understand problem-solving instruction. It presents information on helping students understand the problem-solving process as well as information on teaching specific strategies, including: Choose an Operation; Find a Pattern; Make a Table; Make an Organized List; Draw a Picture or Diagram; Guess, Check, and…

Self-regulated learning (SRL) is the process through which individuals direct and sustain their awareness, behaviors, and motivation to optimize their learning or to reach goals. Noting that very little research has been conducted on young children's SRL, this study examined 40 kindergarten children's SRL by investigating: their awareness while…

MathWings is the mathematics program of the Success for All Foundation, a non-profit organization that develops and disseminates school reform programs originally developed at Johns Hopkins University. MathWings, based on NCTM standards, emphasizes the use of cooperative learning, problem solving, and metacognitive strategies to help all children …

Observed fluctuations in problem-solving and classroom behaviors for 43 nonmedicated pupils who had attention deficits with hyperkinesis. Results showed that on problem-solving tasks except Digit Span, pupils performed better in the morning. In classroom behavior, all pupils exhibited more interference, off-task, noncompliance, and minor motor…

Describes students' initial thinking strategies and investigates the influence of learning environments on progress, transfer, and retention of students' thinking strategies. Results indicate that students do not use scientific reasoning when first encountering the problem, but interaction with the learning environment increases the rate of…

Presents many ideas regarding activities that can be used in science club meetings. Includes hints to problem solvers, problems to solve, ideas for competitions, and an interdisciplinary section about imaginary science. (DDR)

Discusses the positive value of conflicts and describes a six-step program, Teaching Students To Be Peacemakers, that instructs students in how to negotiate and mediate conflicts. Reviews research on the effectiveness of the program and the benefits of self-regulation for school discipline programs. Provides steps on how to structure academic…

Discusses several solutions--correct and incorrect--for a "Food for Thought" problem from the May 2000 issue. Emphasizes the importance of proportional reasoning. (KHR)

Presents some ideas about how teachers can foster mathematical communication by encouraging students to find multiple solutions to problems. Discusses three problems that help develop communication ability in mathematics. Views communication of multiple solutions as an instructional strategy to help students make sense of mathematics. (KHR)

Presents four methods for solving a quadratic equation using graphing calculator technology: (1) graphing with the CALC feature; (2) quadratic formula program; (3) table; and (4) solver. Includes a worksheet for a lab activity on factoring quadratic equations. (KHR)