Examines students' construction of experimentation models for physics theories in energy storage, transformation, and transfers involving electricity and mechanics. Student problem solving dialogs and artificial intelligence modeling of these processes is analyzed. Construction of models established relations between elements with linear causal…

Compared young mathematically disabled and academically normal children in terms of the distribution of strategies and solution times involved with simple addition problems. Performance characteristics of normal students and disabled students who improved were essentially the same, whereas those of disabled students who did not change were…

Describes the contents of a book entitled The Care and Feeding of Ideas: A Guide to Encouraging Creativity which considers the thinking process, why skills need to be developed, and how students use or should use these thinking skills. (RT)

Contends that, to become a better critical thinker, one must not only develop expert thinking skills, but also become an expert at choosing the best skills for the particular situation. Reports on a study of critical thinking and metacognition among 65 college students. (CFR)

Investigates issues of conceptual understanding in teaching and learning mathematics provided conceptually based instruction on place value and two-digit addition and subtraction without regrouping in four first grade classrooms. Conventional textbook-based instruction was provided in two first grade classrooms. Experimental-group students scored…

Illustrates and discusses one class of strategies to solve word problems referred to as "number-consideration strategies." Contrasts actions and goals of students who focus mainly on number considerations with those of students who focus mainly on problem understanding. (MDH)

A study determined the abilities of students to interpret and represent graphs by asking 15-year-old female students (n=10) to write stories to accompany any 3 of 12 graphs presented. Results indicated that the students were not able to accurately relate real life situations to graphical forms. (MDH)

Describes "talk-through" model of peer teaching in which student pairs are asked to verbalize their thinking processes as they work through a mathematical problem. Lists five benefits of using this method. (MDH)

Concrete experience should be a first step in the development of new abstract concepts and their symbolization. Presents concrete activities based on Hyde and Nelson's work with egg cartons and Steiner's work with money to develop students' understanding of partitive division when using fractions. (MDH)

Presents a series of activities developed from the "Arithmetic Teacher's" regular feature entitled "Problem Solving: Tips for Teachers" to help students develop skills in each of the four steps of Polya's problem-solving process: (1) Understanding the Problem; (2) Making a Plan; (3) Carrying Out the Plan; and (4) Reflecting…

Over a 10-month period, normal children showed an increased reliance on memory retrieval and a decreased reliance on counting when they solved addition problems. There was an increase in speed of counting and of retrieving addition facts from long-term memory. Children with a mathematical learning disability showed no change in problem-solving…

Middle school students (n=267) were designated as gifted, honors, or average; divided into problem-solving treatment or comparison groups; and assessed on creative problem-solving ability and potential giftedness. Treatment students showed significant gains in problem-solving ability compared with comparison groups, with no significant differences…

Results from 40 high school students on the mathematics subtest of the Scholastic Aptitude Test (SAT) support the prediction that successful students would have more prior knowledge and would be better at defining problems, assembling strategies, and avoiding computational errors. Results are discussed in terms of a cognitive processing model.…

Responses of students in grades K-10 (42 interviewed; 98 written) to 4 common fractions problems were analyzed for iconic mode processes in relationship to concrete symbolic mode development. Concludes that progress in the latter, without development of complementary iconic support, limits both understanding and flexibility in solving problems.…

Students (n=40) who had experienced cooperative and individualistic concept-mapping experiences performed significantly better in solving three biological problems than did control students (n=20). No significant differences were found between students who mapped concepts cooperatively and those who mapped individually. There were mixed results…