Students' understanding of the meaning of the equal sign develops slowly over the primary grades. In addition to updating their representations of equations to recognize that the equal sign represents an equivalence relation rather than signaling an operation, students need to move beyond full computation to efficiently solve equivalence problems.…

Difficulties in mathematics are argued to stem from impairments of a specialized system of numerical magnitude representation. This study investigates whether different measures of numerical magnitude understanding in kindergarten uniquely predict mathematical achievement concurrently and 6 months later, and also examines the relative explanatory…

An ongoing debate concerns whether novel mathematical concepts are better learned using contextualised or decontextualised representations. A barrier to resolving this debate, and therefore to progress in the discipline, has been the paucity of validated methods of measuring students' understanding of mathematical concepts. We developed an…

A group of 50 good readers and a group of 50 poor readers of Grade 5 matched for age and intelligence and selected on the basis of their proficiency in reading comprehension were tested for their competence in word reading and the process of planning at three different levels, namely, perceptual, memory and conceptual in order to study the…

The study investigated sequence learning from stochastic feedback in boys with Autistic Spectrum Disorder (ASD) and typically developed (TD) boys. We asked boys with ASD from Nigeria and the UK as well as age- and gender-matched controls (also males only) to deduce a sequence of four left and right button presses, LLRR, RRLL, LRLR, RLRL, LRRL and…

Teaching a subject like physics needs special teaching methods. It has been felt that in spite of strenuous efforts of physics teacher, students fail to grasp the certain concepts of subject, which lead disinterest among students towards physics. More ever students are often unable to apply their knowledge to advance studies. Therefore there is a…

Inspired by a previous study of Korean deaf and hard of hearing adolescents, the researchers conducted a priming task of living-nonliving categorization with a sample of Chinese deaf and hard of hearing adolescents. The sample in this study had significantly lower accuracy levels for the thematically related items than for the taxonomically…

Instructional strategies for teaching concepts have long been identified. Less commonly studied is a learner's level of confidence and certitude in their knowledge based upon exposure to these instructional treatments. This experimental research study used an instrument referred to as the Spatial Probability Measure (SPM) to solicit levels of…

Results of two studies using the Esper paradigm to determine development of rule application and discovery are reported. Subjects learned and generalized when rule and structure were provided, but there was little evidence of rule discovery. Manipulations of memory and attention facilitated learning, but only attention facilitated rule discovery.…

The paired-associate learning of 52 fourth graders was related to measures of cognitive ability obtained the previous year. Subjects were administered the paired-associate task under one of three variations: at a comfortable rate with standard instructions; at a comfortable rate with a potentially effective learning strategy (visual imagery); and…

The constructs of concrete and formal operational reasoning were examined in 459 15-year-old secondary school students (234 males and 225 females) in Singapore. Log linear models were used to explore the relationships between Piagetian level of reasoning, the level of intelligence, gender, and type of home-speaking environment among these…

Evidence for suggested basic differences in the abstract reasoning capacity of Negro and Caucasian children includes consistent findings of significantly poorer performance by Negroes on Raven's Progressive Matrices (PM). This study investigated the PM performance of Negro children taught algebra via a discovery method of instruction. It was…

The development of psychological methods for assessing the abilities of deaf students could aid in the formation of educational programs and the provision of vocational guidance. A battery of tests designed to measure a wide range of functions was administered to all eighth grade students, average age 15, in schools for the deaf in Sweden. All…