The field of geometrical optics features a broad knowledge base concerning conceptual learning difficulties and student conceptions. However, in contrast to other areas of physics, no widely used standard test instrument exists to assess middle school students' conceptual knowledge of geometrical optics. This is even more true for other areas of…

Relating mathematical concepts to graphical representations is a challenging task for students. In this paper, we introduce two visual strategies to qualitatively interpret the divergence of graphical vector field representations. One strategy is based on the graphical interpretation of partial derivatives, while the other is based on the flux…

This paper presents a hypothesised learning trajectory for a Year 3 Indigenous student en route to generalising growing patterns. The trajectory emerged from data collected across a teaching experiment (students n = 18; including a pre-test and three 45-minute mathematics lessons) and clinical interviews (n = 3). A case study of one student is…

Students should learn mathematics with understanding. This is one of the ideas in the literature on mathematics education that everyone supports, from educational politicians to curriculum developers, from researchers to teachers, and from parents to students. In order to decide whether or not students understand mathematics we should first…

Does having more knowledge or interest in the topics used in example problems facilitate or hinder learning in statistics? Undergraduates enrolled in Introductory Psychology received a lesson on central tendency. Following the lesson, half of the students completed a worksheet with a baseball cover story while the other half received a weather…

Kindergarten and first grade children participated in a training program designed to facilitate moral development. Stories that stimulated discussion of solutions to moral issues were read to children in the treatment group. Children in the treatment group, compared to controls, improved significantly in three of four specific areas tested.…

Describes the use of a quiz that asks elementary but probing questions about chemistry and delivers the message to students that they have much to gain from chemical education. Arises out of concern over lack of student motivation in chemistry. (DDR)

PIAGET HAS PROPOSED THAT THE CONCEPT OF NUMBER IS PREDICATED ON THE CONCEPT OF CONSERVATION OF SUBSTANCE--THAT IS, THE CONCEPT THAT THE AMOUNT OR NUMBER REMAINS THE SAME DESPITE SPATIAL REARRANGEMENTS. BECAUSE OF THE CURRENT EMPHASIS ON REVISION OF MATHEMATICS CURRICULUM AND OF THE APPARENT VALUE OF NUMBER TRAINING TO PRESCHOOL DISADVANTAGED…

A STUDY WAS CONDUCTED TO FIND OUT WHAT MENTAL PROCESSES ARE INVOLVED IN THE DEVELOPMENT OF THE CONCEPT OF CONSERVATION OF CONTINUOUS QUANTITY, AT WHAT AGES THESE PROCESSES ARE DEVELOPED IN CHILDREN, AND WHETHER THEY ARE ADEQUATELY EXPLAINED BY PIAGET'S THEORY. ONE HUNDRED 5.75 TO 7-YEAR-OLDS WITH A MEAN I.Q. OF 105 WERE PRETESTED AND CLASSIFIED AS…

A research project was conducted to study the effects of an 8-week prekindergarten enrichment program and of two 15-month preschool enrichment programs. Pretest and posttest scores of experimental and control kindergarten children (a sample of 100 out of 1,000 subjects) showed that both groups made significant gains in all ability categories o f…

This paper presents a study of the relationship between compensation and conservation in 80 children, ages 5-6. Findings are compared to those of an earlier experiment which was designed to determine whether or not prior knowledge of the compensation rule increases kindergarten children's susceptibility to conservation training experiences. It is…

Four text passages varying along the dimensions of the number of propositions unifying one or more text paragraphs and text length were constructed. The text content pertained to nine concepts in the area of operant conditioning psychology. Fifty-eight university students were pretested and then blocked on prior text-related knowledge, and read…

Investigating the effect of a resident outdoor experience on the attitudes of 300 sixth grade students exposed to two different teaching methods, students from the Brownsville School District in Pennsylvania were randomly assigned to a week-long camp experience. Teachers in the control group (N=3) were given 20 hours of training in outdoor…

Three kindergartens and one prekindergarten, totaling 213 children, participated in a Behavior Modification program during the 1971-72 school year. A research assistant in each location worked directly with the teacher in measuring and evaluating teaching methods and in developing alternative procedures as needed to teach the same skills or…