Provides further details regarding a philosophical reconstruction of the structure of Classical Genetics Theory that can facilitate problem-solving instruction. Describes how that reconstruction can facilitate realistic problem solving on the part of students. Contains 60 references. (DDR)

Explores a variety of approaches to solving one geometry problem illustrating the work of teachers, the flow of their ideas, and the diverse areas of mathematics they applied. (KHR)

Suggests ways in which teachers can help students learn investigation and problem-solving skills on open investigation tasks. Includes matching the degree of openness of the investigations to the experience and skills of the student, providing scaffolding to support student decision making, and using formative and student self-assessment. (JRH)

Subjects were trained in three targeted skills. Game training produced large and consistent gains in all target responses however, no generalization was recorded in covert assessments. Subsequently, an in-situ training procedure consisting of intermittent verbal prompts and reinforcement was used, which significantly increased use of skills in all…

Describes the different ways in which two pioneering Australian teachers adapted their teaching to use computer algebra systems (CAS). One teacher used CAS with the primary goal of increasing understanding but restricted student use. The other teacher adopted CAS as an extra technique for solving standard problems, emphasizing time saving routines…

Explores how children from kindergarten to 6th grade think about the same fraction problem and what that should mean for instruction. (Author)

Describes a project that gives students hands-on experience in the careers of statistician and mathematics teacher as they plan and teach a lesson on problem-solving, then assess its effectiveness. (Author)

Explains the suggestion in "Principles and Standards for School Mathematics" that teachers should expect students to "act as mathematicians." Defines what that might mean and presents an instructional model that focuses on problem solving. (Author/YDS)

Describes how student thinking about geometric patterns can be used to develop algebraic reasoning and to make sense of mathematical notation and symbols. (Contains 11 references.) (YDS)

Looks at how some Portuguese preservice teachers are learning how to implement Standards-based teaching strategies. (YDS)

Presents some strategies for successfully implementing tasks that engage students at high cognitive levels. (YDS)

Describes a project in which middle grades students are asked to write in mathematics class with the goal of determining whether it changes their opinions of writing as an integral part of mathematics. (Contains 14 references.) (YDS)

Describes an engineering design course that is taught at the postsecondary level but can be adapted for secondary education. It presents the steps in the design process and illustrates, using a matrix, the tradeoffs necessary in design. (JOW)

Provides a list of possible explanations for difficulties the visually impaired may face in second or foreign language classes and offers suggestions for making their language learning experience more pleasant and successful. (Author/VWL)

The integration of problem solving into the technology education laboratory means there will be changes in the ways in which teachers structure activities for learners and the manner in which teachers behave. (JOW)