Validating a measure of motivational climate in health science courses.

PURPOSE: The aim of the study was to examine the validity evidence for the 19-item form of the MUSIC Model of Academic Motivation Inventory (College Student version) within health science schools in three different countries. The MUSIC Inventory includes five scales that assess the motivational climate by measuring students' perceptions related to five separate constructs: empowerment, usefulness, success, interest, and caring. BACKGROUND: The 26-item form of the MUSIC Inventory has been validated for use with undergraduate students and with students in professional schools, including students at a veterinary medicine school, a pharmacy school, and a medical school. A 19-item form of the MUSIC Inventory has also been validated for use with undergraduate students, but it has not yet been validated for use with medical school students. The purpose of this study was to provide validity evidence for the use of the 19-item form in heath science schools in three different countries to determine if this version is acceptable for use in different cultures. If validated, this shorter form of the MUSIC Inventory would provide more differentiation between the Interest and Usefulness scales and could reduce respondent fatigue. METHODOLOGY: Cook et al's [1] practical guidelines were followed to implement Kane's [2] validity framework as a means to examine the evidence of validity through scoring inferences, generalization inferences, and extrapolation inferences. Students (n = 667) in health science schools within three countries were surveyed. RESULTS: The results produced evidence to support all five hypotheses related to scoring, generalization, and extrapolation inferences. CONCLUSIONS: Scores from the 19-item form of the MUSIC Inventory are valid for use in health science courses within professional schools in different countries. Therefore, the MUSIC Inventory can be used in these schools to assess students' perceptions of the motivational climate.

Students' Class Perceptions and Ratings of Instruction: Variability Across Undergraduate Mathematics Courses.

The primary purpose of this study was to examine whether students' motivation-related perceptions of mathematics courses were related to their ratings of instruction while controlling for their academic major, type of math class, and expected grade in the class. We investigated these relationships at both the student- and class-level because little is known about whether students' motivation-related perceptions vary across mathematics courses and whether this variance is related to overall class ratings of instruction. The sample included 795 students nested within 43 different mathematics course sections. Students provided their course perceptions of autonomy, utility value, expectancies for success, situational interest, instructor caring, expected grade, and their overall perceptions of the course and instructor. Multilevel modeling techniques were used to investigate potential student- and class-level effects as well as compositional effects. Students' class perceptions varied significantly across mathematics courses. In addition, students' motivation-related course perceptions were positively related to their instructor and course ratings at both the student-level and class-level; however, the strength of these relationships sometimes varied across courses for some of the motivation-related perceptions. These results suggest that the motivational climate (i.e., the psychological environment) can affect students' instructor and course ratings. Moreover, these findings suggest that instructors have some control over their instructor and course ratings through the teaching strategies that they implement. For example, they may be able to increase their ratings by implementing teaching strategies that support students' autonomy, goals, success, interests, and relationships.

Learning progression toward a measurement concept of fractions.

BACKGROUND: Fractions continue to pose a critical challenge for students and their teachers alike. Mathematics education research indicates that the challenge with fractions may stem from the limitations of part-whole concepts of fractions, which is the central focus of fractions curriculum and instruction in the USA. Students' development of more sophisticated concepts of fractions, beyond the part-whole concept, lays the groundwork for the later study of important mathematical topics, such as algebra, ratios, and proportions, which are foundational understandings for most STEM-related fields. In particular, the Common Core State Standards for Mathematics call for students to develop measurement concepts of fractions. In order to support such concepts, it is important to understand the underlying mental actions that undergird them so that teachers can design appropriate instructional opportunities. In this study, we propose a learning progression for the measurement concept of fractions-one that focuses on students' mental actions and informs instructional design. RESULTS: A hierarchy of fraction schemes is charted outlining a progression from part-whole concepts to measurement concepts of fractions: (a) part-whole scheme (PWS), (b) measurement scheme for unit fractions (MSUF), (c) measurement scheme for proper fractions (MSPF), and (d) generalized measurement scheme for fractions (GMSF). These schemes describe concepts with explicit attention to the mental actions that undergird them. A synthesis of previous studies provides empirical evidence to support this learning progression. CONCLUSIONS: Evidence from the synthesis of a series of research studies suggests that children's measurement concept of fractions develops through several distinct developmental stages characterized by the construction of distinct schemes. The mental actions associated with these schemes provide a guide for teachers to design instructional opportunities for children to advance their construction of a measurement concept of fractions. Specifically, the collection of quantitative studies suggest that students need opportunities to engage in activities that support two kinds of coordinations-the coordination of partitioning and iterating, and the coordination of three levels of units inherent in fractions. Instructional implications are discussed with example tasks and activities designed to provoke these coordinations.

Using written work to investigate stages in sixth-grade students' construction and coordination of units.

BACKGROUND: Students' ability to construct and coordinate units has been found to have far-reaching implications for their ability to develop sophisticated understandings of key middle-grade mathematical topics such as fractions, ratios, proportions, and algebra, topics that form the base of understanding for most STEM-related fields. Most of the related research on unit coordination relies on time-intensive clinical interviews and teaching experiments. In this study, we investigate the work of 93 sixth-grade students on a written assessment containing whole number and fraction contexts using both continuous and discrete quantities, and how this work can be used to assess stages in students' construction and coordination of units. Our investigation is guided by the following general research questions: (1) What forms of written work evidence the construction of and operation on composite units (units made up of other units)? (2) How does the categorization of students based on responses from a written assessment compare to written performance on a set of tasks conveying a continuous whole number multiplicative context? RESULTS: We documented the different ways students represented composite units in their written work. In particular, student written work on tasks that included figurative unit items provided the greatest variety of evidence regarding students' construction of and operation on composite units. However, written evidence from partitioning tasks did not seem as promising for distinguishing student stages. Students' performance on decontextualized bar tasks involving continuous quantities was found to be consistent with students' level of unit coordination based on written work providing evidence for the validity of stage categorizations. CONCLUSIONS: Our findings shed light on the affordances and constraints associated with particular stages in unit construction and coordination that a student brings to bear on tasks provided in a formal, written assessment. These findings provide promising evidence for scaling up the assessment of students construction and coordination of units through the use of written assessments instead of time-intensive clinical interviews.

The development of science achievement in middle and high school. Individual differences and school effects.

Using data from the Longitudinal Study of American Youth (LSAY), hierarchical linear models (HLMs) were used to model the growth of student science achievement in three areas (biology, physical science, and environmental science) during middle and high school. Results showed significant growth in science achievement across all areas. The growth was quadratic across all areas, with rapid growth at the beginning grades of middle school but slow growth at the ending grades of high school. At the student level, socioeconomic status (SES) and age were related to the rate of growth in all areas. There were no gender differences in the rate of growth in any of the three areas. At the school level, variables associated with school context (school mean SES and school size) and variables associated with school climate (principal leadership, academic expectation, and teacher autonomy) were related to the growth in science achievement. Initial (Grade 7) status in science achievement was not associated with the rate of growth in science achievement among either students or schools in any of the three areas.