Conceptual tempo as a moderator variable in predicting first grade achievement test scores

This study examined the utility of a set of tests for predicting the academic achievement of separate samples of impulsive and reflective first graders. The predictor tests were the Peabody Picture Vocabulary Test, the Columbia Mental Maturity Scale, Wepman's Auditory Discrimination Test, the ITPA Sound Blending Subtest, the WISC Digit Span Subtest, and Kaufman's WISC-R Verbal Comprehension Factor (Comprehension, Information, Similarities, and Vocabulary). The criterion measures were drawn from the Stanford Achievement Test and included scores for Total Auditory, Total Mathematics, Total Reading, Vocabulary and Listening Comprehension. Multiple regression analyses revealed that (a) for three of the five criterion variables, the optimal equations for predicting the achievement test scores differed for impulsives and reflectives, and (b) given the same predictor scores, the predicted achievement of impulsive and reflective children different considerably. It was concluded that conceptual tempo is an important moderator variable in predicting academic performance.     

Numerical approximation abilities correlate with and predict informal but not formal mathematics abilities

Previous research has found a relationship between individual differences in children’s precision when nonverbally approximating quantities and their school mathematics performance. School mathematics performance emerges from both informal (e.g., counting) and formal (e.g., knowledge of mathematics facts) abilities. It remains unknown whether approximation precision relates to both of these types of mathematics abilities. In the current study, we assessed the precision of numerical approximation in 85 3- to 7-year-old children four times over a span of 2 years. In addition, at the final time point, we tested children’s informal and formal mathematics abilities using the Test of Early Mathematics Ability (TEMA-3). We found that children’s numerical approximation precision correlated with and predicted their informal, but not formal, mathematics abilities when controlling for age and IQ. These results add to our growing understanding of the relationship between an unlearned nonsymbolic system of quantity representation and the system of mathematics reasoning that children come to master through instruction.     

Factors Predicting Girls' and Boys' Enrollment in College Preparatory Mathematics

Students ( n = 337) tested in the eighth grade were followed up in the eleventh grade to see what courses in the college preparatory math sequence they had elected. Discriminant analyses for girls and boys were performed on the test scores, predicting those electing one, two, three, or four years of college preparatory math. Scores included math achievement (SRA Math Concepts), vocabulary (Cognitive Abilities Test), spatial visualization (Differential Aptitude Test) and the Fennema-Sherman Mathematics Attitudes Scales II. For girls, the standardized weights of the discriminant function were highest for vocabulary, Confidence in Learning Mathematics, Attitude toward Success in Math, and Effectance Motivation in Mathematics. For boys, they were highest for Confidence in Learning Mathematics, vocabulary, perceived Attitude of Father toward One as a Learner of Mathematics, and Math Concepts. Consistent with results of a previous study, the Confidence in Learning Mathematics Scale emerged as a powerful scriminator of groups differing in mathematics enrollment behavior. Spatial visualization skill was a more important discriminator for females than for males.     

The comparability of scores from three mathematics test of the College Entrance Examination Board

Scores from three mathematics tests of the College Entrance Examination Board were examined in order to determine the effect on the scores of (1) choice of test, (2) amount of training in mathematics, and (3) recency of training in mathematics. Groups of candidates were paired in a number of comparisons and matched by means of a regression technique which is described. On the average, students of similar ability made comparable scores on the mathematical section of the Scholastic Aptitude Test and on the Comprehensive Mathematics Test. The scores of candidates who took the Intermediate Mathematics Test averaged substantially higher than those of comparable students who took either of the other two tests. A greater amount of mathematical training and more recent training were both found to be positively related to scores on the mathematical section of the Scholastic Aptitude Test and on the Intermediate Mathematics Test, but the effect of recency appeared to be less than one might expect.The author is indebted to Mrs. L. B. Plumlee of the Educational Testing Service for her extensive aid in carrying out this project.     

Predicting success among first-year engineering students at the Rand Afrikaans University

160 first-year students in the Engineering Faculty at the Rand Afrikaans University completed the Study Orientation Questionnaire in Mathematics and the Senior Aptitude Test Advanced. 100 students who passed and 40 who failed the first year scored significantly differently on three subtests, Calculations, Study attitude in mathematics, and Problem-solving behaviour in mathematics. Step-wise linear regression showed a combination of three fields, namely, Calculations, Study attitude in mathematics, and Mathematics anxiety, contributed significantly (R2=25.8%) towards predicting the first-year aggregate score of first-year engineering students.     

Convergent and divergent thinking in verbal analogy

Individual differences in convergent and divergent thinking may uniquely explain variation in analogical reasoning ability. Across two studies we investigated the relative influences of divergent and convergent thinking as predictors of verbal analogy performance. Performance on both convergent thinking (i.e., Remote Associates Test) and divergent thinking (i.e., Alternative Uses Task) uniquely predicted performance on both analogy selection (Studies 1 and 2) and analogical generation tasks (Study 2). Moreover, convergent and divergent thinking were predictive above and beyond creative behaviours in Study 1 and a composite measure of crystallised intelligence in Study 2. Verbal analogies in Study 2 also varied in semantic distance, with results demonstrating divergent thinking as a stronger predictor of analogy generation for semantically far than for semantically near analogies. Results thus further illuminate the link between analogical reasoning and creative cognition by demonstrating convergent and divergent thinking as predictors of verbal analogy.     

Common variance among three measures of nonverbal cognitive ability: WISC-R performance scale,WJPB-TCA reasoning cluster,and Halstead category test

The relationships among two psychometric measures of nonverbal cognitive ability (1) the Wechsler Intelligence Scale for Children-Revised (WISC-R) Performance IQ and (2) the Reasoning Cluster score and two subtests, Analysis-Synthesis and Concept Formation, from the Woodcock-Johnson Psychoeducational Battery-Tests of Cognitive Ability (WJPB-TCA)- and a neuropsychological test of abstract reasoning and concept formation (Halstead Category Test) were examined for a population of 25 children referred for psychoeducational evaluation as a result of learning difficulty. The findings demonstrated that the WISC-R Performance IQ and the Halstead Category Test have a common variance and appear to be sensitive to nonverbal cognitive ability, particularly of a perceptual organization nature. In contrast, the Reasoning Cluster score and the individual subtests from the WJPB-TCA appear to have a substantial g loading, as well as significant language correlates.     

Early literacy and early numeracy: the value of including early literacy skills in the prediction of numeracy development

The purpose of this study was to examine whether early literacy skills uniquely predict early numeracy skills development. During the first year of the study, 69 3- to 5-year-old preschoolers were assessed on the Preschool Early Numeracy Skills (PENS) test and the Test of Preschool Early Literacy Skills (TOPEL). Participants were assessed again a year later on the PENS test and on the Applied Problems and Calculation subtests of the Woodcock–Johnson III Tests of Achievement. Three mixed effect regressions were conducted using Time 2 PENS, Applied Problems, and Calculation as the dependent variables. Print Knowledge and Vocabulary accounted for unique variance in the prediction of Time 2 numeracy scores. Phonological Awareness did not uniquely predict any of the mathematics domains. The findings of this study identify an important link between early literacy and early numeracy development.     

Attitudes toward and approaches to learning first-year university mathematics

This study examined the relationship for 180 undergraduate students enrolled in a first-year university calculus course between attitudes toward mathematics and approaches to learning mathematics using the Mathematics Attitude Scale and the Approaches to Learning Mathematics Questionnaire, respectively. Regression analyses indicated that scores for the Mathematics Attitude Scale were negatively related to scores for the Surface Approach and accounted for 10.4% of the variance and scores for the Mathematics Attitude Scale were positively related to scores for the Deep Approach to learning mathematics and accounted for 31.7% of the variance.     

Girls’ Spatial Skills and Arithmetic Strategies in First Grade as Predictors of Fifth-Grade Analytical Math Reasoning

This study investigated longitudinal pathways leading from early spatial skills in first-grade girls to their fifth-grade analytical math reasoning abilities (N = 138). First-grade assessments included spatial skills, verbal skills, addition/subtraction skills, and frequency of choice of a decomposition or retrieval strategy on the addition/subtraction problems. In fifth grade, girls were given an arithmetic fluency test, a mental rotation spatial task, and a numeric and algebra math reasoning test. Using structural equation modeling, the estimated path model accounted for 87% of the variance in math reasoning. First-grade spatial skills had a direct pathway to fifth-grade math reasoning as well as an indirect pathway through first-grade decomposition strategy use. The total effect of first-grade spatial skills was significantly higher in predicting fifth-grade math reasoning than all other predictors. First-grade decomposition strategy use had the second strongest total effect, while retrieval strategy use did not predict fifth-grade math reasoning. It was first-grade spatial skills (not fifth-grade) that directly predicted fifth-grade math reasoning. Consequently, the results support the importance of early spatial skills in predicting later math. As expected, decomposition strategy use in first grade was linked to fifth-grade math reasoning indirectly through first-grade arithmetic accuracy and fifth-grade arithmetic fluency. However, frequency of first-grade decomposition use also showed a direct pathway to fifth-grade arithmetic reasoning, again stressing the importance of these early cognitive processes on later math reasoning.     

The role of planning in different mathematical skills

Despite the fact that planning has been found to be a significant predictor of reading (particularly of reading comprehension), much less is known about its contribution to mathematics. The purpose of this study was to examine the role of two levels of planning (operation planning and action planning) in three mathematical skills (calculation fluency, math problem-solving, and math reasoning). Eighty Grade 2 children from Shanghai, China were assessed on measures of nonverbal cognitive ability (nonverbal matrices), working memory (digit span backwards and N-back), operation planning (matching numbers, planned codes, and planned search), action planning (crack the code), and mathematics (calculation fluency, math problem-solving, and math reasoning). The results of regression analyses showed that both levels of planning accounted for unique variance in mathematics over and above the effects of nonverbal cognitive ability and working memory. The effects of action planning were particularly strong in math problem-solving. These findings suggest that measures of planning could be used along with measures of working memory to detect children at-risk for mathematics disabilities and that intervention programmes targeting planning could be developed to boost children's mathematics performance.     

Cognitive predictors of achievement growth in mathematics: a 5-year longitudinal study

The study's goal was to identify the beginning of 1st grade quantitative competencies that predict mathematics achievement start point and growth through 5th grade. Measures of number, counting, and arithmetic competencies were administered in early 1st grade and used to predict mathematics achievement through 5th (n = 177), while controlling for intelligence, working memory, and processing speed. Multilevel models revealed intelligence and processing speed, and the central executive component of working memory predicted achievement or achievement growth in mathematics and, as a contrast domain, word reading. The phonological loop was uniquely predictive of word reading and the visuospatial sketch pad of mathematics. Early fluency in processing and manipulating numerical set size and Arabic numerals, accurate use of sophisticated counting procedures for solving addition problems, and accuracy in making placements on a mathematical number line were uniquely predictive of mathematics achievement. Use of memory-based processes to solve addition problems predicted mathematics and reading achievement but in different ways. The results identify the early quantitative competencies that uniquely contribute to mathematics learning.     

Working memory and individual differences in mathematics achievement: A longitudinal study from first grade to second grade

This longitudinal study examined the relationship between working memory and individual differences in mathematics. Working memory measures, comprising the phonological loop, the visuospatial sketchpad, and the central executive, were administered at the start of first grade. Mathematics achievement was assessed 4 months later (at the middle of first grade) and 1 year later (at the start of second grade). Working memory was significantly related to mathematics achievement in both grades, showing that working memory clearly predicts later mathematics achievement. The central executive was a unique predictor of both first- and second-grade mathematics achievement. There were age-related differences with regard to the contribution of the slave systems to mathematics performance; the visuospatial sketchpad was a unique predictor of first-grade, but not second-grade, mathematics achievement, whereas the phonological loop emerged as a unique predictor of second-grade, but not first-grade, mathematics achievement.     

教师课堂教学行为对学生学业成绩的影响:一个跨文化研究

教师一向被认为是影响学生学业成绩的重要因素。本研究采用第三次国际数学和科学研究TIMSS2003中的数据,以学生数学成绩为因变量,教师课堂教学行为为自变量,使用多层线性回归的方法,比较了美国、瑞典、日本和香港这四个国家(地区)教师课堂教学行为对学生学业成绩的影响。研究结果发现,教师特定的行为因素,教学的准备、对作业的重视、对考试的重视、对推理和问题解决的重视、电脑的使用确实能有效影响美国和瑞典的学生成绩,但对两个亚洲国家(地区)没有影响;教师的性别、教龄、教育水平、所学专业和教师资格再次被证实对学生成绩没有显著影响;学生的家庭和自身的因素(如学生年龄、性别、完成作业的时间,对数学的自信和对数学的评价)能够对学生成绩产生重要影响。     

Girls' and Boys' Enrollments in Theoretical Math Courses: A Longitudinal Study

Students (n = 331) extensively tested in their first year of high school were followed up as seniors to see what courses in theoretical mathematics they had elected. Discriminant analyses for girls and boys were performed on the test scores, postdicting those who elected two, three or four years of theoretical math. Scores included math achievement (Test of Academic Progress), vocabulary (Quick Word Test), and the Fennema-Sherman Mathematics Attitudes Scales. For girls, the standardized weights of the discriminant function were highest for spatial visualization, vocabulary, perceived Usefulness of Mathematics, and Confidence in Learning Mathematics; for boys, Confidence in Learning Mathematics, math achievement, stereotyping Math as a Male Domain and Effectance Motivation in Mathematics were highest in discriminating those who had elected two, three, or four years of theoretical math.     

Motivational beliefs,cognitive engagement,and achievement in language and mathematics in elementary school children

The contextual differences in the patterns of relations among various motivational, cognitive, and metacognitive components of self‐regulated learning and performance in two key curriculum subject areas, language and mathematics, were examined in a sample of 263 Greek primary school children of fifth‐ and sixth‐grade classrooms. Age and gender differences were also investigated. Students were asked to complete the Motivated Strategies for Learning Questionnaire (Pintrich & De Groot, 1990 ), which comprised five factors: (a) Self‐efficacy, (b) Intrinsic Value, (c) Test Anxiety, (d) Cognitive Strategy Use, and (e) Self‐regulation Strategies. They responded to the statements of the questionnaire on a 7‐point Likert scale in terms of their behaviour in mathematics and language classes, respectively. Moreover, their teachers were asked to evaluate each of their students' academic achievement in Greek language and mathematics on a 1‐ to 20‐point comparative scale in relation to the rest of the class. The results of the study indicated very few differences in the pattern of relations among self‐regulated components within and across the two subject areas and at the same time revealed a context‐specific character of self‐regulated components at a mean level differences. Further, the current study (a) confirmed the mediatory role of strategies in the motivation‐performance relation, (b) stressed the differential role of cognitive and regulatory strategies in predicting performance in subject areas that differ in their structural characteristics of the content, and (c) pointed out the key motivational role of self‐efficacy. In fact, self‐efficacy proved the most significant predictor not only of performance but of cognitive and regulatory strategy use as well. Gender differences in motivation and strategy use were not reported, while motivation was found to vary mainly with age. The usefulness of these findings for promoting greater clarity among motivational and metacognitive frameworks and ideas for future research are discussed.     

Word list memory predicts everyday function and problem-solving in the elderly: results from the ACTIVE cognitive intervention trial

Data from the Advanced Cognitive Training for Independent and Vital Elderly (ACTIVE) trial (N = 2,802) were analyzed to examine whether word list learning predicts future everyday functioning. Using stepwise random effects modeling, measures from the modified administrations of the Hopkins Verbal Learning Test (HVLT) and the Auditory Verbal Learning Test (AVLT) were independently predictive of everyday IADL functioning, problem-solving, and psychomotor speed. Associations between memory scores and everyday functioning outcomes remained significant across follow-up intervals spanning 5 years. HVLT total recall score was consistently the strongest predictor of each functional outcome. Results suggest that verbal memory measures are uniquely associated with both current and future functioning and that specific verbal memory tests like the HVLT and AVLT have important clinical utility in predicting future functional ability among older adults.     

A mixed Rasch model of dual-process conditional reasoning

A fine-grained dual-process approach to conditional reasoning is advocated: Responses to conditional syllogisms are reached through the operation of either one of two systems, each of which can rely on two different mechanisms. System1 relies either on pragmatic implicatures or on the retrieval of information from semantic memory; System2 operates first through inhibition of System1, then (but not always) through activation of analytical processes. It follows that reasoners will fall into one of four groups of increasing reasoning ability, each group being uniquely characterized by (a) the modal pattern of individual answers to blocks of affirming the consequent (AC), denying the antecedent (DA), and modus tollens (MT) syllogisms featuring the same conditional; and (b) the average rate of determinate answers to AC, DA, and MT. This account receives indirect support from the extant literature and direct support from a mixed Rasch model of responses given to 18 syllogisms by 486 adult reasoners.     

An expanded etiological model for suicide behavior in adolescents: Evidence for its specificity relative to depression

This study tests both the stress/social support and the stress/problem-solving etiological models for suicidality while controlling for depression. To this end, a depressed, high-suicide-ideating sample (N=68) was compared to a depressed, low-suicide-ideating sample (N=64). Hierarchical multiple regression analyses were used to test the unique contributions of stress, problem-solving orientation, problem-solving skills, and perceived level of social support in predicting level of suicidality. Hierarchical regression analyses were also used to test the interactive contributions of problem-solving × stress and social support × stress in predicting level of suicidality. Regression models were generated separately for men, women, and the entire sample using all factors. The results clearly support the importance of social support as an independent predictor of suicidality for men, women, and the entire sample. Ability to generate alternatives to identified problems predicted suicidality, but only for women and the entire sample. Problem-solving orientation was not uniquely predictive of suicidality and may affect suicidal behavior via its relationship to depression.     

Sex Differences in Mathematics Components of the Iowa Tests of Basic Skills

The Mathematics Problem Solving (MRS) and Mathematics Concepts (MC) subtests of the Iowa Tests of Basic Skills were investigated for content and psychometric item bias at grades 3, 6, and 8. A small proportion of items were identified in each subtest which significantly favored either males or females. No skill classification, item content or location trends could be found for the mathematics subtests at each grade level. Across the grade levels, items in the MC subtest favored males for grades 3 and 6, but females were favored at grade 8. The procedure used in the study is generalizable to other groups (minority or grade levels). Test consumers have the right to know whether the test they use is fair for selected groups of students. Results from empirical investigations should appear in the Test Manual that accompanies the test battery.