Evaluation of a Math Intervention Program Implemented With Community Support

Abstract

Evidence-based interventions exist for improving multiple fundamental math competencies, but delivering interventions with fidelity and within a data-driven, tiered framework is a practical challenge faced by most schools. The current study evaluated a math intervention program delivered with community-based resources via AmeriCorps. At the beginning of the school year, students in Grades 4–8 (n?=?550) were randomly assigned to receive math support via the program or to a waitlist control group. Outcomes were measured with a broad-based assessment of math achievement in the winter. Results from intent-to-treat analyses showed a significant and positive effect (d?=?.17) for the program that increased slightly under optimal dosage conditions (d?=?.24). The observed results extend existing literature on math interventions in schools by illustrating the potential for partnerships between community-based organizations and schools to improve outcomes for at-risk students.     

Pathways from parental stimulation of children’s curiosity to high school science course accomplishments and science career interest and skill

Curiosity is fundamental to scientific inquiry and pursuance. Parents are important in encouraging children’s involvement in science. This longitudinal study examined pathways from parental stimulation of children’s curiosity per se to their science acquisition (SA). A latent variable of SA was indicated by the inter-related variables of high school science course accomplishments, career interest, and skill. A conceptual model investigated parental stimulation of children’s curiosity as related to SA via science intrinsic motivation and science achievement. The Fullerton Longitudinal Study provided data spanning school entry through high school (N?=?118). Parental stimulation of curiosity at age 8 years comprised exposing children to new experiences, promoting curiosity, encouraging asking questions, and taking children to a museum. Intrinsic motivation was measured at ages 9, 10, and 13 years, and achievement at ages 9, 10, and 11 years. Structural equation modelling was used for analyses. Controlling for socio-economic status, parental stimulation of curiosity bore positive and significant relations to science intrinsic motivation and achievement, which in turn related to SA. Gender neither related to stimulation of curiosity nor contributed to the model. Findings highlight the importance of parental stimulation of children’s curiosity in facilitating trajectories into science, and relevance to science education is discussed.     

An Experimental Evaluation of Four Elementary School Math Curricula

Abstract

This article examines the effectiveness of four elementary school math curricula: (a) Investigations in Number, Data, and Space; (b) Math Expressions; (c) Saxon Math; and (d) Scott Foresman–Addison Wesley Mathematics (SFAW). These curricula are distinct from one another and represent many of the diverse approaches used to teach elementary school math in the United States. The results are based on 39 schools that were randomly assigned to use the various curricula at the first-grade level. The results show that average spring first-grade math achievement of Math Expressions and Saxon students was 0.30 SD higher than Investigations students and 0.24 SD higher than SFAW students. These effect sizes mean that an average-performing student's percentile rank in math would be 9 to 12 points higher if the school used Math Expressions or Saxon, instead of Investigations or SFAW. We also conducted correlational analyses that examine whether curriculum-group differences in math instructional time and content coverage account for the differences in curriculum effects and found that a portion of the relative effects is due to differences in content coverage.     

Advanced Math Course Taking: Effects on Math Achievement and College Enrollment

Using data from the Educational Longitudinal Study of 2002–2006, the authors investigated the effects of advanced math course taking on math achievement and college enrollment and how such effects varied by socioeconomic status and race/ethnicity. Results from propensity score matching and sensitivity analyses showed that advanced math course taking had positive effects on math achievement and college enrollment. Results also demonstrated that the effect of advanced math course taking on math achievement was greater for low socioeconomic status students than for high socioeconomic status students, but smaller for Black students than for White students. No interaction effects were found for college enrollment. Limitations, policy implications, and future research directions are discussed.     

A Randomized Controlled Trial of a Modularized,Computer-Assisted,Self-Paced Approach to Developmental Math

Abstract

Community colleges are a large sector of postsecondary education. In 2016–2017, the United States had nearly 1,000 public 2-year postsecondary institutions (community colleges), serving almost nine million students, representing 39% of all undergraduates. The majority of entering community college students require developmental (or remedial) math. Success rates in the developmental math course sequence and college more broadly are discouragingly low. Policymakers, practitioners, and researchers alike are eagerly searching for reforms to improve success rates, but there is a dearth of causal evidence on the effectiveness of most proposed reforms. We sought to answer the following question: what effect does a modularized, computer-assisted, self-paced approach to developmental math (compared with a more “traditional” direct-instruction course alternative) have on students’ likelihood of completing the developmental math course sequence? Findings from a randomized controlled trial (n =1,403) are presented. The program was well implemented; however, we did not find evidence that this approach was superior to the “traditional” math class. Although these results are disappointing, they are important because modularization and self-paced computer-assisted instruction are popular reforms.     

数学焦虑的研究概况

数学焦虑是一种特殊的学科焦虑症，是一种过度焦虑数学而引起的一系列异常的生理变化、行为表现、心理体验。目前有关数学焦虑的研究主要包括：（1）数学焦虑与数学成绩的关系；（2）数学焦虑与年级的关系；（3）数学焦虑与性别差异；（4）数学焦虑与考试的关系；（5）数学焦虑与专业的关系。     

The Relationship of Locus of Control and Metacognitive Knowledge of Math with Math Achievements

The purpose of the research was to examine the correlation between locus of control and metacognitive knowledge in math and math achievement among students with learning disabilities. We examined 30 eighth grade pupils with learning disabilities and 30 other pupils all of whom studied in a heterogeneous class in a public school in order to better understand the extent to which the variables: metacognitive knowledge, locus of control and achievement in math differed in the two populations. The pupils answered three questionnaires: the first was designed to study the locus of control, the second, to investigate metacognitive knowledge and the third, to measure math achievement. The findings of this study indicate that the higher the level of the internal locus of control, the higher the use of metacognitive knowledge. Furthermore, higher levels of internal locus of control and higher use of metacognitive knowledge resulted in increased math achievement.     

Math achievement,stereotypes, and math self-concepts among elementary-school students in Singapore

Singaporean elementary-school students (N = 299) completed Child Implicit Association Tests (Child IAT) as well as explicit measures of gender identity, math–gender stereotypes, and math self-concepts. Students also completed a standardized math achievement test. Three new findings emerged. First, implicit, but not explicit, math self-concepts (math = me) were positively related to math achievement on a standardized test. Second, as expected, stronger math–gender stereotypes (math = boys) significantly correlated with stronger math self-concepts for boys and weaker math self-concepts for girls, on both implicit and explicit measures. Third, implicit math–gender stereotypes were significantly related to math achievement. These findings show that non-academic factors such as implicit math self-concepts and stereotypes are linked to students' actual math achievement. The findings suggest that measuring individual differences in non-academic factors may be a useful tool for educators in assessing students' academic outcomes.     

Passion for math: Relationships between teachers’ emphasis on class contents usefulness,motivation and grades

The purpose of this study was to examine the relationship between teacher emphasis on the usefulness of class content and students’ harmonious passion, intrinsic motivation to learn, and math achievement in 1170 high school students. Data were analyzed using multilevel structural equation model and results showed support for the hypotheses tested. First, we found that harmonious students perceived passion and intrinsic motivation to learn as different constructs. Second, harmonious passion was positively associated with math achievement. Third, the relationship between harmonious passion and math performance was mediated by intrinsic motivation to learn. Fourth, teacher emphasis on class contents usefulness predicted students’ harmonious passion. Finally, findings were discussed in terms of their implications for educational practice and methodological suggestions for future research.     

Achievement motivation revisited: new longitudinal data to demonstrate its predictive power

During recent decades, the classical one‐dimensional concept of achievement motivation has become less popular among motivation researchers. This study aims to revive the concept by demonstrating its predictive power using longitudinal data from two cohort samples, each with 20,000 Dutch secondary school students. Two measures of achievement motivation were constructed on the basis of Hermans' Achievement Motivation Test for Children. Results showed that these measures predicted later educational attainment and achievement, and were related to movements in educational career. Our measures of achievement motivation showed a certain stability over time; this stability decreased, however, with the length of the interval between measurements. In addition, a consistent decrease of motivation with age was found.     

The role of expressed emotions in online discussions

Abstract

We investigated relationships among expressed emotions, perceived motivation, perceived emotions, and three dependent variables (i.e., behavioral engagement, cognitive engagement, and student achievement) in the context of a blended online course. We defined “expressed emotions” as emotions detected by an affective computing tool in messages that students posted to online discussion forums in a blended undergraduate writing course. The results of two-step hierarchical multivariate regressions revealed that expressed emotions differentiated positive emotions from negative emotions better than perceived emotions did. Moreover, while no significant effect emerged for perceived motivation and perceived emotions, expressed fear was a significant predictor of student achievement (i.e., final score). Although affective computing is in its infancy, our findings suggest the potential use of expressed emotions for educational research and practice.     

Collaborative learning with scientific approach and multiple intelligence: Its impact toward math learning achievement

Abstract

This study examined the effect of collaborative learning with a scientific approach (SA) on the learning achievement in mathematics viewed from the students’ multiple intelligences. This study compared two types of collaborative learning models, Three Steps Interview (TSI), and Think Pair Share (TPS). The participants of this study were grade 8 students of Secondary Schools in Sukoharjo, Central Java, Indonesia (N?=?262). This study was a quasi-experimental study with a 3?×?3 factorial design. The results of the study can be concluded as follows. (1) TSI with a scientific approach got better math learning achievement than TPS with a scientific approach and classical with a scientific approach. Besides, TPS with a scientific approach got better learning achievement than classical with a scientific approach. (2) Students with logical-mathematical intelligence got better math learning achievement than students with linguistic intelligence and students with interpersonal intelligence, students with linguistic intelligence got better math learning achievement than students with interpersonal intelligence.     

Teacher Judgments of Student Reading and Math Skills: Associations With Child- and Classroom-Related Factors

The purpose of the study was to examine whether students’ linguistic skills and task-avoidant behavior (i.e., the child-related factors) and the mean level of academic skills (reading comprehension and math) of classmates (i.e., the class-related factor) are associated with teacher judgments of children’s reading comprehension and math skills. The participants were third-grade Estonian-speaking students (n?=?656; age 9?11 years) and their classroom teachers (n?=?51). The results of the structural equation modeling path analyses indicated that teachers tend to judge students showing higher academic and linguistic skills and lower avoidance behavior as higher on the reading comprehension and math skills. In contrast, the classmates’ higher academic skill level was related to lower judgments of individual children’s reading comprehension and math skills by teachers.     

Reciprocal Effects between Reading Achievement and Intrinsic and Extrinsic Reading Motivation

ABSTRACT

Research on reading achievement and reading motivation has rarely addressed the question if and how they affect each other over time. In our study, we investigate the reciprocal effects between reading achievement and both intrinsic and extrinsic reading motivation during elementary school. We measured reading achievement and intrinsic and extrinsic reading motivation in 966 students at 3 points of measurement during 3rd and 4th grade. Consistent with previous research, cross-lagged panel analyses revealed positive reciprocal effects between reading achievement and intrinsic reading motivation. Effects of reading achievement on intrinsic reading motivation were found during Grades 3 and 4, whereas effects of intrinsic motivation were limited to Grade 3. No reciprocal effects between reading achievement and extrinsic reading motivation were found. We discuss the implications of our results for daily teaching practices and effective reading instruction.     

Competence beliefs and perceived ability evaluations: How do they contribute to intrinsic motivation and achievement?

To study the role of students' competence beliefs and their perceived teachers' ability evaluations for intrinsic motivation and achievement in math, 459 second graders from 27 German classrooms were examined. Students provided self-reports on their intrinsic motivation, competence beliefs and perceived teachers' ability evaluations in math. Teachers gave insight in students' math grades. Relations were analyzed by three different models: a direct, an indirect and an interaction effect model. Concerning intrinsic motivation, results provided support for both an indirect effect and an interaction effect model, but not for a direct effect model. With regard to math achievement, only the indirect model appeared to be appropriate. The finding that perceived teachers' ability evaluations had an (indirect) effect on students' intrinsic motivation and achievement in math hints at the role of significant others in the development of children's academic functioning and might guide potential interventions.     

Examining how parent and teacher enthusiasm influences motivation and achievement in STEM

Abstract

Parents and teachers play an important role in stimulating student motivation. The aim of this study was to examine if both parent and teacher enthusiasm could predict intrinsic motivation toward STEM activities, and if motivation would be associated with improved STEM achievement over one year in a one-year prospective examination of 288 Swedish students in their final year of a Science High School program (143 females and 145 males). Surveys of parent and teacher enthusiasm were collected at baseline, and student intrinsic motivation and GPA in STEM were assessed at baseline and at the end of the year. Baseline GPA and intrinsic motivation as well as follow-up intrinsic motivation were significantly associated with later GPA. Finally, intrinsic motivation mediated the relation between teacher and parent enthusiasm and change in GPA. Findings show the importance of parent and teacher enthusiasm for adolescent’s intrinsic motivation and achievement in STEM.     

Adaptability: does students’ adjustment to university predict their mid-course academic achievement and satisfaction?

ABSTRACT

Individual differences in ‘adaptability’ – cognitive, behavioural, and emotional adjustment in the face of change, novelty, and uncertainty – are theorised to influence students’ academic achievement and course satisfaction; although the literature examining these relations in tertiary education is sparse. In the present study, first-year undergraduate students were surveyed for their adaptability, academic buoyancy, and academic motivation (predictor variables) along with their mid-course academic achievement and course satisfaction (outcome variables). Correlation analyses revealed that adaptability was significantly associated with all other variables in this study. Multiple regression analyses revealed that after controlling for individual differences in academic buoyancy and academic motivation, adaptability explained unique variance in both academic achievement and course satisfaction. These findings have important implications for researchers and educators seeking to understand first-year students’ adjustment to university and the influence this may have on their educational outcomes.     

Educational theories and computer game design: lessons from an experiment in elementary mathematics education

Although educational games have been used for a considerable time, their true potential for enhancing achievement and motivation is still being explored. We argue in this paper that we may get closer to realizing this potential if the theoretical underpinning of educational games is improved. We developed a simple interactive math game based on insights from cognitive load and game design theory, in which players solve mathematical problems competitively and creatively. To investigate the effects of the game on achievement and motivation, we ran an experiment with fifth- and sixth-grade students. Our results show that students who played the game achieved better math results than those who did not. We did not find any significant differences in math motivation. Another promising finding, albeit beyond the scope of our hypotheses, relates to the potential effects of math games on student behavior.

     

民族数学文化走进校园——以苗族侗族数学文化为例

为了让民族地区的孩子们对学习数学不陌生不害怕,可通过对苗族侗族数学文化的挖掘来开发数学课程资源,并把它们引进学校进行运用.在数学活动中让同学们亲身体验到数学学习的内容是有趣的、现实的、有意义的,这样将有利于学生了解当地的民族数学文化和增强他们学习的自信心,从而提高他们学习数学的积极性.     

Der Wert der Mathematik im Klassenzimmer – Die Bedeutung relevanzbezogener Unterrichtsmerkmale für die Wertüberzeugungen der Schülerinnen und Schüler

The lack of secondary school students’ motivation in mathematics lessons poses a great challenge. According to the Expectancy-Value Model (Eccles et al., Achievement and achievement motives: psychological and sociological approaches, New York, Freeman, S. 75–146, 1983), teacher and classmates influence students’ value beliefs. Using data of 1868 ninth grade students and their 72 math teachers, this study was designed to assess the association of several indicators of relevance-oriented teaching strategies and of perceived classmates’ math valuing with students’ value beliefs in mathematics. Two-level linear regression analyses provided evidence that the student-rated practical focus of math lessons predicted students’ intrinsic, attainment, utility, and cost value mainly at the individual level; student-rated classmates’ math valuing was associated with students’ value perceptions more strongly at the class level. Over the course of six months, these effects increased at the individual but not at the class level. Teacher-reported effort to establish connections between math and other domains was positively associated with students’ attainment and cost value. Teacher-rated use of daily life examples led to a decrease in students’ cost value over the course of six months.