The study investigated tool development by three middle school mathematics teachers. The tools they designed were intended to support the use of model-eliciting activities (a form of instruction related to problem-based learning) and particularly the students' presentations of their solutions for the whole class. The study examined the design and…

Formal learning usually takes place in a physical classroom. An extension of learning process may continue to occur in a conventional setting where learners get together physically after class hours. In other words, learning may take place within particular zones. Vygotsky's idea of zone of proximal development (ZPD) suggests that learning may not…

Lunar Nautics is a hands-on curriculum targeted to youth in grades 6 to 8, that allows the students to design, test, analyze and manage a space mission from initial concept to project funding. Lunar Nautics provides opportunities for development of problem solving skills and critical thinking skills that are needed to design, organize and manage a…

The gap between researchers and teachers has minimized the impact that research should have on school development. Using teachers as researchers is one way of empowering them to adopt the perspective of the researcher. Research-oriented activity is then seen as one promising means of improving the teachers' pedagogical expertise. It is assumed…

The inclusion of critical thinking and viewing skills across the curriculum is one way to approach the development of problem solving, which could help develop the kind of students prepared to accept the challenges they face. Using popular media in teaching such skills links critical thinking to life in a way that keeps critical thinking from…

The 1989 document, "Curriculum and Evaluation Standards for School Mathematics" (the "Standards"), provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. When completed, it is expected…

This book is a collection of 21 articles by mathematics teacher Ernest Ranucci (1912-1976) grouped into five categories: (1) "Patterns" (for developing inductive reasoning skills); (2) "Mathematics in the World Around Us"; (3) "Spatial Visualization"; (4) "Inventiveness in Geometry"; and (5) "Games to Learn By", which demonstrates that mathematics…

Intended for teachers of the gifted, the book contains a compilation of teacher-developed units written for use with students from preschool through high school. Units are divided into four sections: one for each of four theoretical models--Bloom's Taxonomy of Educational Objectives, Guilford's Structure of the Intellect, Taylor's Multiply Talents…

This guide provides K-3 teachers with information to help foster positive social skills such as caring, cooperation, communication, and appreciation for diversity through music, movement, and language arts. The guide includes a recording with 46 easy-to-learn songs (20 of which are in both English and Spanish) to use with young children. The songs…

Using the children's book "Tops and Bottoms" by Janet Stevens--an adaptation of the classic fable of the Tortoise and the Hare--students are given opportunities to build connections between a problem-solving situation and mathematics and to communicate solutions through writing, symbols, and diagrams. A key concept is to demonstrate to students…

Discusses the use of analogies and other instructional strategies (problem solving, demonstration, group labs, and large group discussion) in dealing with students' preconceptions in physics. (PR)

The use of strategies is an important part of mathematical thinking. Presented are several games that help develop the reasoning strategies of hypothesis making and testing, proving and disproving, looking for patterns, and simplifying a difficult task. (MDH)

Presents integrated activities for mathematics and biology appropriate for various levels from grades five through eight. Explores interesting aspects of human fingernails and hair growth and their mathematical relationship to time. Provides suggestions to integrate the activities with technology. (MDH)

Describes a three-week workshop involving 20 teachers and 40 female students, grades 3 through 8, who worked in small groups to use the LEGO TC logo program, an approach that integrates mathematics and science instruction. Discussion includes the impact of single-sex, small group work on student attitudes toward mathematics and science. (six…

Provided is a teacher's guide for a problem-solving activity that establishes a link between number patterns and geometry by focusing on the development of recurrence relations established when generating central polygonal numbers. Reproducible worksheets and a 3.0 BASIC program for the activity are given. (MDH)