MEETING THE EDUCATIONAL NEEDS OF SERVICE PROVIDERS: EFFECTS OF A CONTINUING EDUCATION PROGRAM ON SELF‐REPORTED KNOWLEDGE AND ATTITUDES ABOUT AGING

A variety of approaches are available for meeting the educational needs of professionals currently providing services to older adults. This article focuses on the development of the Professional Development Program in Gerontology offered through Continuing Education at the University of North Carolina at Charlotte and examines the effectiveness of this program in educating regional service providers. The discussion is based on participants’ self‐reported before‐and‐after data on their knowledge and attitudes about aging and the aged. The importance of changing employers’ attitudes about the importance of gerontology education as a qualification for service providers is also discussed.     

ELEMENTARY SCHOOL TEACHERS’ KNOWLEDGE OF MODEL FUNCTIONS AND MODELING PROCESSES: A COMPARISON OF SCIENCE AND NON-SCIENCE MAJORS

This study aimed to: (a) understand practicing teachers’ knowledge of model functions and modeling processes, (b) compare the similarities and differences between the knowledge of science and non-science major teachers, and (c) explore the possible reasons for the similarities and differences between the knowledge of these 2 groups. A 4-point Likert scale questionnaire was developed and used to measure the knowledge of 187 practicing elementary school teachers (94 science majors and 93 non-science majors) on model functions and modeling processes. The author selected 10 target teachers to conduct think-aloud interview and to explore their ranking. One month after completing the questionnaire, 28 volunteer teachers were selected for a follow-up interview to better understand the reasons for their responses. The results show that these teachers tend to agree or strongly agree with the items about model functions and modeling processes. The only significant difference between science and non-science majors was for the item “generating new ideas.” Qualitative analyses of the follow-up interviews and think-aloud results showed that teacher education and professional development did not focus on understanding and using models. Science-major teachers tended to formulate their responses with reference to specific models, while the non-science major teachers’ responses contained acquiescence bias. Finally, implications for science education are discussed.     

ENHANCING MATHEMATICS TEACHERS’ KNOWLEDGE OF STUDENTS’ THINKING FROM ASSESSING AND ANALYZING MISCONCEPTIONS IN HOMEWORK

This study focuses on teacher learning of student thinking through grading homework, assessing and analyzing misconceptions. The data were collected from 10 teachers at fifth?Ceighth grade levels in the USA. The results show that assessing and analyzing misconceptions from grading homework is an important approach to acquiring knowledge of students?? thinking. By engaging in the inquiry process of the 4 steps of identifying errors, analyzing reasons for the errors, designing approaches for correction, and taking action for correction, the teachers made obvious progress in their knowledge of students?? thinking, understood the difficulties and challenges their students had in learning mathematics, and enhanced their pedagogical content knowledge.     

KNOWLEDGE OF AND ATTITUDES TOWARD AGING IN YOUNG,MIDDLE‐AGED,AND OLDER COLLEGE STUDENTS: A COMPARISON OF TWO MEASURES OF KNOWLEDGE OF AGING

Scores on two measures of knowledge of aging were compared and correlated with direct and indirect measures of attitudes toward aging. Knowledge scores were not strongly related (r = .2‐.3) to either indirect or direct measures of attitudes toward older adults, and scores on the knowledge tests were not strongly correlated with each other (r = .25). In general, older subjects had higher knowledge scores and more positive attitude scores than did younger subjects. The age effect for knowledge remained after attitude was controlled. Suggestions for improving tests of general knowledge of aging are offered.     

LEARNERS’ AND TEACHERS’ CONCEPTUAL KNOWLEDGE OF SCIENCE PROCESSES: THE CASE OF BOTSWANA

The conceptual knowledge of science processes possessed by University of Botswana science students and senior secondary school science teachers was sought through a three-part questionnaire. One part requested demographic data of subjects, the second part asked them to select their level of familiarity with the processes, and the third part probed their conceptual definitions of the science processes. The definitions were scored as incorrect, partially correct and correct on an ordinal scale. Statistical analysis was done using Spearman rho correlation and one sample t test. The findings revealed that the science teachers did not have sufficient conceptual knowledge of science processes to help their students to understand in a meaningful way; both students’ and teachers’ views of their familiarity of science processes did not corroborate their demonstrated ability to provide acceptable conceptual definitions of the processes; there was no association between students’ and teachers’ conceptions of the science processes; and if conceptual knowledge of science processes was demanded, the entering students, who were the immediate graduates of the senior secondary schools, might not have enough to pursue tertiary level science courses. It is suggested that both conceptual and operational knowledge of science processes be required at secondary and tertiary levels of science education.     

BELIEFS ABOUT CHEMISTRY TEACHING AND LEARNING—A COMPARISON OF TEACHERS’ AND STUDENT TEACHERS’ BELIEFS FROM JORDAN,TURKEY AND GERMANY

This paper discusses beliefs about teaching and learning chemistry. The sample includes chemistry student teachers and in-service teachers from Jordan, Turkey, and Germany. Two test instruments were used to investigate (student) teachers’ beliefs. A qualitative instrument was used to explore Beliefs about Classroom Organization, Beliefs about Teaching Objectives, and Epistemological Beliefs. A quantitative instrument was added to evaluate participants’ beliefs concerning the Nature of Good Education. The results show that Jordanian chemistry teachers and teacher trainees held the most traditional, teacher-centered, and transmission-oriented beliefs, while the German sample showed the most modern beliefs toward teaching and learning. Turkish (student) teachers evidenced more moderate beliefs, which tended to be between the two extremes, but that could still be positioned more closely to the traditional way of thinking. The results are discussed in the context of chemistry teacher education in the three respective countries.     

TEACHERS’ MISCONCEPTIONS ABOUT THE EFFECTS OF ADDITION OF MORE REACTANTS OR PRODUCTS ON CHEMICAL EQUILIBRIUM

The importance of research on misconceptions about chemical equilibrium is well recognized by educators, but in the past, researchers’ interest has centered on student misconceptions and has neglected teacher misconceptions. Focusing on the effects of adding more reactants or products on chemical equilibrium, this article discusses the various misconceptions held by high school teachers. A misconception test was administered to two samples of chemistry teachers in Nanjing, China. Of the 109 teachers who participated in the test, only one understood that adding more CS₂ gas to the equilibrium system CS₂(g) + 4H₂(g) ⇌ CH₄(g) + 2H₂S(g) at constant pressure and temperature can shift the equilibrium to the reactant or product side, depending upon the amount of CS₂ in the initial equilibrium system. Most of the teachers relied on Le Chatelier’s principle and thus made erroneous predictions. The misconception test also revealed that those teachers who managed to compute equilibrium constants had a limited conceptual understanding of chemical equilibrium. Implications of these findings for teacher education and chemistry curriculum development are discussed.     

PRESERVICE TEACHERS’ VIEWS ABOUT NATURE OF SCIENTIFIC KNOWLEDGE DEVELOPMENT: AN INTERNATIONAL COLLABORATIVE STUDY

This article presents the findings of an international collaborative investigation into preservice teachers’ views on the nature of scientific knowledge development with respect to six elements: observations and inferences, tentativeness, scientific theories and laws, social and cultural embeddedness, creativity and imagination, and scientific methods. A total of 640 preservice teachers, 209 from the United States, 212 from China, and 219 from Turkey, participated in the study. The survey “Student Understanding of Science and Scientific Inquiry (SUSSI)”, having a blend of Likert-type items and related open-ended questions, was used to gain a fuller understanding of the preservice teachers’ views of the nature of scientific knowledge development. Across the three countries, the participants demonstrated better understanding of the tentative NOS aspect but less understanding of the nature of and relationship between scientific theories and scientific laws. The Chinese sample scored highest on five of the six Likert sub-scales, the USA sample demonstrated more informed views on observation and inference, and the Turkish preservice teachers possessed relatively more traditional views in all six NOS aspects. Conclusions and limitations of the present study as well as implications and recommendations for future studies, are also discussed.     

A PROBABILISTIC MODEL FOR STUDENTS’ ERRORS AND MISCONCEPTIONS ON THE STRUCTURE OF MATTER IN RELATION TO THREE COGNITIVE VARIABLES

In this study, the effect of 3 cognitive variables such as logical thinking, field dependence/field independence, and convergent/divergent thinking on some specific students’ answers related to the particulate nature of matter was investigated by means of probabilistic models. Besides recording and tabulating the students’ responses, a combination of binomial and multinomial logistic regression techniques was used to analyze the data. Thus, students’ misconceptions as well as the compatible-with-the-scientific-view student’s answers were explored one by one in relation to the above 3 cognitive variables. The study took place with the participation of 329 ninth-grade junior high school pupils (aged 14–15). The results showed that mostly logical thinking and sporadically the other 2 cognitive variables were significantly associated with students’ answers. Interpretation of the results and implications for science education are discussed.     

PREDICTORS OF COLLEGE STUDENTS’ KNOWLEDGE OF AND ATTITUDES TOWARD ELDERLY SEXUALITY: THE RELEVANCE OF GRANDPARENTAL CONTACT

In this study, 241 young and middle‐aged adult college students completed the Aging Sexuality Knowledge and Attitude Scale, and provided information about their demographic and grandparental relationship qualities. Findings showed that greater age was associated with increased knowledge of elderly sexuality. Both the presence of contact and greater than average perceptions of closeness with at least one grandparent were predictive of more permissive attitudes toward elderly sexuality. Among the total sample, greater knowledge was related to more permissive attitudes toward elderly sexuality. However, the presence of contact with at least one grandparent moderated this relationship; young adults without grandparental contact presented a nonsignificant knowledge /attitude relationship. These findings suggest that future studies of younger age cohorts’ attitudes toward elderly sexuality should assess grandparental contact and relationship characteristics, as well as general demographic information such as chronological age. Health‐care educators also may need to reconsider the commonly held assumption that greater knowledge of elderly sexuality is associated exclusively with more permissive attitudes.     

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.     

AGE AND HEADTEACHERS’ ROLE CONCEPTIONS

The relationship between age and role conceptions was examined in a national sample of infant, junior and secondary school headteachers drawn from schools throughout England and Wales. American studies of the school principalship have shown authoritarianism, closed‐mindedness, and lack of educational innovation to be characteristic of the beliefs and behaviour of older rather than younger school principals. The present study failed to support American findings. Older headteachers were found to exhibit less authoritarianism than younger headteachers; nor were older heads more traditional in outlook than younger colleagues or any less concerned with supervising the work of their teaching staffs.     

EXISTING STATUS OF BUILDING COMMUNITIES’ RECOMMENDATIONS: A DEAN AND DIVISION CHAIRPERSON COMPARISON

The purpose of this study was to assess the existing status of Building Communities’ recommendations. The recommendations were transformed and written as goal statements. Fifty‐nine deans and 98 division chairpersons were asked whether these goals had been implemented. Fifty‐three deans and 84 chairpeople returned usable questionnaires.

Chi‐square tests of independence (p < .05) were used to compare deans’ and chairpersons’ responses on existing goal status. Deans and chairpeople agree on the existing status of 32 of the 38 goal statements and share the same beliefs on the existing status of a vast majority of the goal statements.

Significant differences were identified, however, between deans and chairpeople regarding the existing status of (1) outreaching to disadvantaged students, (2) outreach‐ing to different adult populations, (3) renewing faculty, (4) ensuring that full‐time faculty teach the majority of credit‐bearing courses, (5) using computer technology to integrate educational and administrative applications, and (6) placing ill‐prepared students in developmental education programs. Deans were more likely than chairpeople to view the six goals that lacked agreement as having been implemented.     

MEASURING THE CONFIDENCE OF 8TH GRADE TAIWANESE STUDENTS’ KNOWLEDGE OF ACIDS AND BASES

The present study investigated whether gender differences were present on the confidence judgments made by 8th grade Taiwanese students on the accuracy of their responses to acid–base test items. A total of 147 (76 male, 71 female) students provided item-specific confidence judgments during a test of their knowledge of acids and bases. Using the correctness of the answer responses, a confidence rating score, an unweighted rating score, and a relative confidence rating score were calculated for each respondent. The correlations between the boys and girls for each score area showed girls as scoring higher than boys in their knowledge of acids and bases, were more confident in this knowledge, and more willing to express different levels of confidence among the test items.     

TEACHERS’ KNOWLEDGE OF THE CONCEPT OF A FUNCTION: A THEORETICAL FRAMEWORK

In order to teach mathematics effectively, mathematics teachers need to have a sound mathematical knowledge, but what constitutes sound mathematical knowledge for teaching is subject to debate. This paper is an attempt to unpack what constitutes teacher knowledge of the concept of a function which is a unifying idea in the mathematics curriculum. The central components of the framework, which will be elaborated on in this paper, are: teachers’ subject matter knowledge, teachers’ pedagogical content knowledge, teachers’ technological pedagogical knowledge, technological content knowledge, and technological pedagogical content knowledge in relation to the concept of a function. The framework is informed by Shulman’s (Educational Researcher 15:4–14, 1986) Types of Teachers Knowledge Framework, Ball, Bass &; Hill 29:14–17, 20–22, 43–46 (2005) Mathematical Knowledge for Teaching Framework, and Mishra &; Koehler’s (Teachers College Record 108:1017–1054, 2006) Technological Pedagogical Content Knowledge (TPACK) framework.

     

TEACHERS’ KNOWLEDGE OF THE CONCEPT OF A FUNCTION: A THEORETICAL FRAMEWORK

In order to teach mathematics effectively, mathematics teachers need to have a sound mathematical knowledge, but what constitutes sound mathematical knowledge for teaching is subject to debate. This paper is an attempt to unpack what constitutes teacher knowledge of the concept of a function which is a unifying idea in the mathematics curriculum. The central components of the framework, which will be elaborated on in this paper, are: teachers’ subject matter knowledge, teachers’ pedagogical content knowledge, teachers’ technological pedagogical knowledge, technological content knowledge, and technological pedagogical content knowledge in relation to the concept of a function. The framework is informed by Shulman’s (Educational Researcher 15:4–14, 1986) Types of Teachers Knowledge Framework, Ball, Bass & Hill 29:14–17, 20–22, 43–46 (2005) Mathematical Knowledge for Teaching Framework, and Mishra & Koehler’s (Teachers College Record 108:1017–1054, 2006) Technological Pedagogical Content Knowledge (TPACK) framework.     

THE IMPACT OF PEER INSTRUCTION ON COLLEGE STUDENTS’ BELIEFS ABOUT PHYSICS AND CONCEPTUAL UNDERSTANDING OF ELECTRICITY AND MAGNETISM

The purpose of this study is to assess students’ conceptual learning of electricity and magnetism and examine how these conceptions, beliefs about physics, and quantitative problem-solving skills would change after peer instruction (PI). The Conceptual Survey of Electricity and Magnetism (CSEM), Colorado Learning Attitudes about Science Survey (CLASS), multiple-choice test was administered as a pre- and posttest with Solomon 4 group design to students (N  =  138) enrolled on freshman level physics course. The number of chapter taught to the students was 14. Problem-solving strategy steps were asked to students in the exam. The analyses of CSEM showed that the treatment group (g  =  0.62) obtained significantly higher conceptual learning gain than the control group (g  =  0.36). The conceptual understanding and problem-solving skills of the students on magnetism considerably enhanced when PI was conducted (37% and 20%, respectively). CLASS results for 5 subscales (conceptual understanding, applied conceptual understanding, problem solving general, problem solving confidence, and problem solving sophistication) supported the findings of CSEM.     

TECHNOLOGY KNOWLEDGE: HIGH SCHOOL SCIENCE TEACHERS’ CONCEPTIONS OF THE NATURE OF TECHNOLOGY

In-depth interviews guided by video elicitations examined 30 high school science teachers’ conceptions of technology and by extension how these conceptions reflected dimensions of nature of technology. Altogether, 64 % of the teachers characterized their schools and departments as aggressive–moderate adopters with generous access and support for technological tools. In comparison, 30 % noted that their school lagged behind due to funding and lack of infrastructure. Definitions of technology revealed emphasis on technology as artifact, overwhelming optimism on the purpose and function of technology to improve and make life easier and as representation of advancement in civilization. In tandem, teachers were most drawn to two video scenarios—medical and everyday tool videos because it reflected notions of progression and expectations of future changes; heightened awareness of the multitude of available technologies; and perceived relevance with classroom content. Perhaps most telling in these findings was that few teachers were drawn to the classroom video scenario, and only three teachers highlighted the technology–science–school science connection. These findings have implications for holistic understandings of technologies, which may inform how science teachers perceive and enact technologies in their science classrooms.     

IDENTIFYING SENIOR HIGH SCHOOL STUDENTS’ MISCONCEPTIONS ABOUT STATISTICAL CORRELATION, AND THEIR POSSIBLE CAUSES: AN EXPLORATORY STUDY USING CONCEPT MAPPING WITH INTERVIEWS

Correlation is an essential concept in statistics; however, students may hold misconceptions about correlation, even after receiving instruction. This study aimed to elucidate (1) the misconceptions held by senior high school students about correlation, using the tool of concept mapping along with interviewing, (2) the possible causes of these misconceptions, and (3) the effectiveness, advantages, and limitations of the adopted concept mapping using an interviewing technique for identifying student misconceptions. Twenty-five grade-12 students who had received tuition on correlation were the subjects of this study. Concept mapping through interviewing was used to collect and analyze data in order to identify the subjects’ misconceptions, and their possible causes. The major study results are as follows. (1) Seven misconceptions about correlation were detected. Of these seven misconceptions, five were newly discovered by this study, while the other two are similar to those found by previous studies. Each of the seven misconceptions was held by 20–68% of the subjects, showing their prevalence and significance. (2) Four major factors related to the development of misconceptions about correlation were identified: learning materials, language, daily-life experiences, and existing mathematical concepts. (3) The concept mapping through the interviewing technique adopted in this study was effective in detecting misconceptions about statistics, especially in revealing new misconceptions, and it was also helpful in exploring their possible causes. However, tremendous effort and the time consumed are the major limitations of this technique. (4) The paper concluded by providing some recommendations for researchers and educators.