STUDENTS’ ATTITUDES TOWARD MATHEMATICS AND THEIR RELATIONSHIP TO LEARNING IN REQUIRED MATHEMATICS COURSES IN SELECTED POSTSECONDARY INSTITUTIONS

Abstract

This study was conducted to gain information pertaining to one of the most critical problems in individualization or personalization of instruction—an instrument that accurately assesses individual differences in community college students in terms that can be of value in the classroom. The subjects in this study, nursing students at Delta College in University City, Michigan, were tested with a cognitive style diagnostic battery developed by Oakland Community College and an observational minibattery developed by this researcher (selected elements of cognitive style). The results of these tests were checked in classroom situations.     

TRAINING MATH AND SCIENCE TEACHER–RESEARCHERS IN A COLLABORATIVE RESEARCH ENVIRONMENT: IMPLICATIONS FOR MATH AND SCIENCE EDUCATION

In this mixed-methods study, the effect of training teacher–researchers in a collaborative research environment is examined for a cohort of teachers enrolled in a Math and Science Partnership (MSP) master’s degree program. The teachers describe changes in their research views and in their application of research in practice, and detail the challenges they faced during the process. The findings of the study suggest training teachers as researchers is likely to encourage teacher interest in conducting and applying theory in math and science classrooms. The results of this study have implications for bridging the gap between theory and practice in math and science education in general.     

ARGUMENTATION AND STUDENTS’ CONCEPTUAL UNDERSTANDING OF PROPERTIES AND BEHAVIORS OF GASES

The purpose of this study was to explore the impact of argumentation-based pedagogy on college students?? conceptual understanding of properties and behaviors of gases. The sample consists of 108 students (52 in the control group and 56 in the intervention group) drawn from 2 general chemistry college courses taught by the same instructor. Data were collected through pre- and post-tests. The results of the study show that the intervention group students performed significantly better than the control group students on the post-test. The intervention group students also showed significant increase in their test scores between pre- and post-test. While at least 80?% of the students in the intervention group abandoned their initial ideas on all of the 17 alternative conceptions that were identified by the authors but one, the percent of student abandoning their initial ideas in the control group was less than 50. The discussion focuses on the implications of these results for addressing students?? alternative conceptions, promoting the argumentation?Cpedagogy in college science courses and the challenges associated with the use of argumentation in college science classrooms.     

THAI GRADE 10 AND 11 STUDENTS’ UNDERSTANDING OF STOICHIOMETRY AND RELATED CONCEPTS

The research reported in this case study explores the understanding of stoichiometry and related concepts of Thai science students in grades 10 and 11 after major national curriculum reforms. Students’ conceptions and alternative conceptions were investigated using a questionnaire - the Stoichiometry Concept Questionnaire (SCQ) (N = 97), which consists of 16 multiple-choice items, the choices for which respondents are required to provide reasons. The findings suggest that less than half of the students surveyed hold what is considered by a panel of experts to be a scientifically acceptable understanding for the conceptions investigated. The main student alternative conceptions are that one mole of all substances has a volume of 22.4 L at STP, that a solution that contains a greater mass of solute has the higher molar concentration, and that the limiting reagent is the reagent for which the lowest mass of reactant is present. Examination of students’ reasons suggests that they resort to the use of algorithms with little understanding of the underlying concepts. It thus seems the national educational reforms have not resulted in a sound understanding of some science concepts. It is recommended that curriculum developers should specify a need for conceptual understanding along with capability in numerical problem-solving in their learning objectives, and link this to assessment regimes that reward conceptual understanding. A need for on-going professional development seems essential if the intentions of the Thai curriculum reforms are to be realized.     

INSIGHTS FROM A TEACHER PROFESSIONAL DEVELOPMENT COURSE: RONA’S CHANGING PERSPECTIVES REGARDING MATHEMATICALLY-TALENTED STUDENTS

This paper considers studying changes in teachers’ perspectives regarding the teaching of mathematically talented students learning in heterogeneous classes. We investigate these changes through a case study of Rona, a teacher who participated in the professional development program “From One End to the Other” held in The David Yellin College of Education, Israel. The analysis focuses on 3 categories of change: awareness, practice, and self-efficacy. The results concerning Rona, 1 of the participants, demonstrate a rise in awareness of talented students, a change in the ways of meeting the needs of these students, and a rise in self-efficacy regarding the teaching of talented students. Moreover, it was found that changes in 1 category are interwoven with changes in the other categories.     

EXAMINING EIGHTH GRADE KUWAITI STUDENTS’ RECOGNITION AND INTERPRETATION OF REASONABLE ANSWERS

This research documents Kuwaiti eighth grade students’ performance in recognizing reasonable answers and the strategies they used to determine reasonableness. The results from over 200 eighth grade students show they were generally unable to recognize reasonable answers. Students’ performance was consistently low across all three number domains (whole numbers, fractions, and decimals). There was no significant difference in students’ performance on items that focused on the practicality of the answers or on items that focused on the relationships of numbers and the effect of operations, or on both. Interview data revealed that 35% of the students’ strategies were derived from two criteria for judging answers for reasonableness: the relationships of numbers and the effect of operations, and the practicality of the answers. They used strategies such as estimation, numerical benchmarks, real-world benchmarks, and applied their understanding of the meaning of operations. However, over 60% of the students’ strategies were procedurally driven. That is, they relied on algorithmic techniques such as carrying out paper-and-pencil procedures. Additionally, some of the students’ strategies reflected misunderstandings of how and when to apply certain procedures. Given these findings, mathematics education in Kuwait should shift the emphasis from paper-and-pencil procedures and provide systematic attention to the development of number sense and computational estimation so Kuwaiti students will be more adept at recognizing reasonable answers.     

CALCULUS STUDENTS’ AND INSTRUCTORS’ CONCEPTUALIZATIONS OF SLOPE: A COMPARISON ACROSS ACADEMIC LEVELS

This study considers tertiary calculus students’ and instructors’ conceptualizations of slope. Qualitative techniques were employed to classify responses to 5 items using conceptualizations of slope identified across various research settings. Students’ responses suggest that they rely on procedurally based conceptualizations of slope, showing little evidence of covariational reasoning. In contrast, instructors’ responses demonstrated a multi-dimensional understanding of slope as a functional property, which applies to real-world situations and plays an integral role in the development of key calculus concepts. While relatively diverse, the instructors’ responses seldom reported determining increasing or decreasing trends of a line from its slope. This conceptualization was used frequently by students and could help them better understand how slope ties to positive and negative derivatives. The most frequently used conceptualizations for students in this study align with past research findings on the emphasis of the secondary mathematics curriculum, supporting the possibility of cultural influences (academic and geographic) on individuals’ conceptualizations of slope. Thus, this study provides valuable insight into conceptualizations of slope and provides direction for future research on slope and the broader topic of cultural influences on mathematical meaning.     

LEBANESE STUDENTS’ CONCEPTIONS OF AND ATTITUDES TOWARDS SCIENCE AND RELATED CAREERS BASED ON THEIR GENDER AND RELIGIOUS AFFILIATIONS

Students’ attitudes and conceptions seem to be influenced by social/cultural contexts and interactions with other students from diverse backgrounds. Therefore, educators need to study attitudes, conceptions, and career choices in relation to diversity indicators. Such was one focus of the Science Education for Diversity project, which involved collaboration among UK, The Netherlands, Turkey, Lebanon, India, and Malaysia. The purpose of this component of the project was to investigate Lebanese students’ attitudes, conceptions, and career choices in relation to gender and religion. The 1,260 Grade 4 to 8 participants, who came from co-educational private and public schools, purposefully selected to include different religions, filled out a questionnaire designed specifically for the Project. Results from the Lebanon data showed that students generally had positive attitudes towards science. They seemed to identify only things they study about in school as “science” with some gender differences but no differences based on religion. Students seemed to be worried about environmental socioscientific issues. About 40 % of students believed that God created all life and that their families believed that too, with significant differences by gender and religion. Finally, the greater majority stated that they would like a job that ensures recognition and respect. Implications related to maintaining students’ interest in science and science-related careers were discussed.     

LEBANESE STUDENTS’ CONCEPTIONS OF AND ATTITUDES TOWARDS SCIENCE AND RELATED CAREERS BASED ON THEIR GENDER AND RELIGIOUS AFFILIATIONS

The pedagogical practices of mathematics education for young children in English and Korean pre-schools were compared through analyses of interviews with practitioners, observations of classroom activities and an examination of documents related to the planning and implementation of mathematics education. Practitioners in both countries used integrated activities to teach mathematics, although they used such activities more frequently in nurseries than in reception classes in England and more frequently in state settings than in independent settings in Korea. Furthermore, mathematics education was more structured, more likely to be led by an adult and less holistic in reception classes than in nurseries in England, whereas it was more structured and didactic in independent than in state settings in Korea. However, mathematics education in England was more systematic, used a more individualised approach and incorporated a variety of hands-on materials and rigorous outdoor activities, whereas it was more group-oriented and utilised limited materials and fewer outdoor activities in Korea.