Faculty Perspectives on Course and Teacher Evaluations

Student ratings of instruction have been the subject of numerous studies with much of the research focusing on the validity and reliability of the ratings themselves. Comparatively little empirical investigation has been devoted to the perceptions of the individuals who are the subjects of the ratings, that is, the faculty. The current study explored faculty perspectives on the usefulness of student ratings for formative and summative purposes, and the actual use of student ratings for summative purposes. Contrary to what might have been deduced from the anecdotal literature, the results of this study do not portray a great deal of resistance to student ratings in general or to their use for formative and summative evaluation. It was also found that student ratings are actually being used for the latter purpose. The usefulness of the student feedback was viewed differentially by the faculty, with feedback on their interaction with students seen as most useful, followed by feedback on their grading practices, global ratings of instructor and course, and finally structural issues of the course.     

To see or not to see: analyzing difficulties in geometry from the perspective of visual perception

In this paper, we consider theories about processes of visual perception and perception-based knowledge representation (VPR) in order to explain difficulties encountered in figural processing in junior high school geometry tasks. In order to analyze such difficulties, we take advantage of the following perspectives of VPR: (1) Perceptual organization: Gestalt principles, (2) recognition: bottom-up and top-down processing; and (3) representation of perception-based knowledge: verbal vs. pictorial representation, mental images and hierarchical structure of images. Examples given in the paper were mostly taken from Gal's study (2005) which aimed at identifying and analyzing Problematic Learning Situations (after Gal & Linchevski, 2000) in junior high school geometry classes. Gal's study (2005) suggests that while this theoretical perspective became part of teachers' pedagogic content knowledge, the teachers were aware of their students' thinking processes and their ability to analyze and cope with their students’ difficulties in geometry was improved.     

A cognitive gap between arithmetic and algebra

Serious attempts are being made to improve the students' preparation for algebra. However, without a clear-cut demarcation between arithmetic and algebra, most of these undertakings merely provide either an earlier introduction of the topic or simply spread it out over a longer period of instruction. The present study investigates the upper limits of the students' informal processes in the solution of first degree equations in one unknown prior to any instruction. The results indicate the existence of acognitive gap between arithmetic and algebra, a cognitive gap that can be characterized asthe students' inability to operate spontaneously with or on the unknown. Furthermore, the study reveals other difficulties of a pre-algebraic nature such as a tendency to detach a numeral from the preceding minus sign in the grouping of numerical terms and problems in the acceptance of the equal symbol to denote a decomposition into a difference as in 23=37–n which leads some students to read such equations from right to left.This research was funded by the Quebec Ministry of Education (Fonds FCAR-92-ER-1032).The authors wish to thank Patricia Lytle for her many helpful suggestions in the preparation of this paper.     

Crossing the cognitive gap between arithmetic and algebra: Operating on the unknown in the context of equations

The objective of the teaching experiment reported in this article was to overcome the cognitive gap, that is, students' inability to spontaneously operate with or on the unknown. Following an analysis of the cognitive obstacles involved, this paper reports the results of an alternative approach. We designed an individualized teaching experiment which was tested in six case studies. In the first part the students' natural tendency to group singletons in the unknown within the equations was expanded to a process of grouping like terms. In the second part we introduced a reverse process to grouping like terms, that of decomposition of a term into a sum. This process, combined with the cancellation of identical terms, provides a procedure for the solution of first degree equations with the unknown on both sides of the equality sign. The last part of the teaching experiment involved the decomposition of an additive term into a difference. The first two parts proved very successful and the students developed procedures on their own that were more efficient than the initial ones. The results of the third part, however, revealed the limits of this approach. The students experienced difficulties in choosing the required decomposition. It seems that some of these obstacles are rather robust and perhaps should not be dealt with incidentally but should be addressed as part of a pre-algebra course.This research was funded by the Quebec Ministry of Education (Founds FCAR 92-ER-1032).     

Using Intuition From Everyday Life in 'Filling' the gap in Children's Extension of Their Number Concept to Include the Negative Numbers

We report here an instructional method designed to address the cognitive gaps in children's mathematical development where operational conceptions give rise to structural conceptions (such as when the subtraction process leads to the negative number concept). The method involves the linking of process and object conceptions through semiotic activity with models which first record processes in situations outside mathematics and subsequently mediate activity with the signs of mathematics. We describe two experiments in teaching integers, an interesting case in which previous literature has focused on the dichotomy between the algebraic approach and the modelling approach to instruction. We conceptualise modelling as the transformation of outside-school knowledge into school mathematics, and discuss the opportunities and difficulties involved. This revised version was published online in July 2006 with corrections to the Cover Date.     

Student Perspectives on Teaching and its Evaluation

The research on student ratings of instruction, while voluminous, has had minimal focus on the perceptions of the students who do the ratings. The current study explored student perspectives on course and teacher ratings as well as some issues related to teaching effectiveness and faculty roles. It was found that students are generally willing to do evaluations and to provide feedback, and have no particular fear of repercussions. However, they have little confidence that faculty or administrators pay attention to the results, and do not even consult the ratings themselves. The students view teaching and advising as the most important roles that should be played by faculty, yet project that faculty, while also viewing teaching as the most important, would rank research above the more student-interactive advising. Canonical correlations among various scales reveal a strong emphasis on such issues of the importance of faculty respect for student views.     

Context-based learning and metacognitive prompts for enhancing scientific text comprehension

ABSTRACT

Context-based learning (CBL), promoting students' scientific text comprehension, and fostering metacognitive skills, plays an important role in science education. Our study involves CBL through comprehension and analysis of adapted scientific articles. We developed a module which integrates metacognitive prompts for guiding students to monitor their understanding and improve their scientific text comprehension. We investigated the effect of these metacognitive prompts on scientific text comprehension as part of CBL in chemistry. About 670 high school chemistry students were randomly divided into three groups exposed to high- and low-intensity CBL. One of the high-intensity groups was also exposed to metacognitive prompts. Research tools included pre- and post-questionnaires aimed at measuring students' conceptual chemistry understanding and metacognitive knowledge in the context of reading strategies, before and after exposure to the CBL. Chemistry understanding was reflected by students' ability to identify the main subject of the adapted article and by explaining concepts both textually and visually. We found that high-intensity CBL combined with metacognitive prompts improved students' chemistry understanding of the adapted scientific articles and the ability to regulate their learning. Our study establishes that reading context-based adapted scientific articles advances students' conceptual chemistry understanding. These gains are strongly amplified by domain-specific metacognitive prompts.     

Promoting Middle School Students’ Understandings of Molecular Genetics

Genetics is the cornerstone of modern biology and understanding genetics is a critical aspect of scientific literacy. Research has shown, however, that many high school graduates lack fundamental understandings in genetics necessary to make informed decisions or to participate in public debates over emerging technologies in molecular genetics. Currently, much of genetics instruction occurs at the high school level. However, recent policy reports suggest that we may need to begin introducing aspects of core concepts in earlier grades and to successively develop students’ understandings of these concepts in subsequent grades. Given the paucity of research about genetics learning at the middle school level, we know very little about what students in earlier grades are capable of reasoning about in this domain. In this paper, we discuss a research study aimed at fostering deeper understandings of molecular genetics at the middle school level. As part of the research we designed a two-week model-based inquiry unit implemented in two 7th grade classrooms (N = 135). We describe our instructional design and report results based on analysis of pre/post assessments and written artifacts of the unit. Our findings suggest that middle school students can develop: (a) a view of genes as productive instructions for proteins, (b) an understanding of the role of proteins in mediating genetic effects, and (c) can use this knowledge to reason about a novel genetic phenomena. However, there were significant differences in the learning gains in both classrooms and we provide speculative explanations of what may have caused these differences.     

Exploring Middle School Students’ Understanding of Three Conceptual Models in Genetics

Genetics is the cornerstone of modern biology and a critical aspect of scientific literacy. Research has shown, however, that many high school graduates lack fundamental understandings in genetics necessary to make informed decisions about issues and emerging technologies in this domain, such as genetic screening, genetically modified foods, etc. Genetic literacy entails understanding three interrelated models: a genetic model that describes patterns of genetic inheritance, a meiotic model that describes the process by which genes are segregated into sex cells, and a molecular model that describes the mechanisms that link genotypes to phenotypes within an individual. Currently, much of genetics instruction, especially in terms of the molecular model, occurs at the high school level, and we know little about the ways in which middle school students can reason about these models. Furthermore, we do not know the extent to which carefully designed instruction can help younger students develop coherent and interrelated understandings in genetics. In this paper, we discuss a research study aimed at elucidating middle school students’ abilities to reason about the three genetic models. As part of our research, we designed an eight-week inquiry unit that was implemented in a combined sixth- to eighth-grade science classroom. We describe our instructional design and report results based on an analysis of written assessments, clinical interviews, and artifacts of the unit. Our findings suggest that middle school students are able to successfully reason about all three genetic models.