Classroom Assessment: Teachers’ Conceptions and Practices in Mathematics

The purpose of this study was to explore teachers’ conceptions about assessment and their actual assessment practices. The sample for the study consisted of 269 mathematics teachers in Grades 1 through 4 in a southeastern state. The teachers completed a cross-sectional, Likert-scale survey. Using chi-square to examine the relationships between grade level and teachers’ conceptions and between grade level and teachers’ practices, the researchers found several significant differences, transcending an indication of relationship by chance.     

Measuring One Aspect of Teachers’ Affective States: Development of the Science Teachers’ Pedagogical Discontentment Scale

The aim of this research is to describe the development of the Science Teachers’ Pedagogical Discontentment Scale, an instrument that measures the discontentment that arises in teachers as they recognize a mismatch between their own pedagogical beliefs and goals and their actual classroom practices. From a conceptual change perspective, we explore the meaning of pedagogical discontentment and discuss its role in shaping teachers’ receptivity to messages of reform. We present an instrument that can be used to measure teachers’ pedagogical discontentment, an instrument that will allow science educators to better describe the affective states of teachers as they enter professional development experiences. The items for the initial instrument were derived from a series of interviews with practicing teachers; from these interviews, a group of 42 items were designed around a group of five subscales. The final instrument, revised after two rounds of field testing, includes 21 multiple‐choice items clustered around six subscales (subscales derived from interviews with science teachers). The processes used to develop the items and to refine instrument are discussed. Uses for this instrument to inform professional development experiences are explored as well as implications.     

Teachers’ Practices in High School Chemistry Just Prior to the Adoption of the Next Generation Science Standards

Effective professional development that influences teachers’ classroom practices starts with what teachers know, understand, and do in their classroom. The Next Generation Science Standards (NGSS) challenge teachers to make changes to their classroom; to help teachers make these changes, it is necessary to know what they are doing in their classrooms just prior to NGSS adoption. An online survey was distributed to high school chemistry teachers to understand their teaching practices before NGSS was adopted as state standards. This article presents the findings of the survey in terms of the chemistry content, science and engineering practices, and engineering content currently taught in chemistry. Gaps in the current teaching practices as they relate to the standards at the time of the study and NGSS are discussed, which show a challenge for the transformation of science education, which the implementation of NGSS hopes to achieve. Implications for professional development are included.     

Middle School Mathematics Teachers’ Perceptions of the Common Core State Standards for Mathematics and Its Impact on the Instructional Environment

This study examines Middle School Mathematics Teachers’ (MSMTs') (N = 1,241) perceptions of the Common Core State Standards for Mathematics (CCSSM) and its impact on the instructional environment. A total of eight factors appear in the data. These factors include professional support, teachers’ use of district‐adopted and non‐district‐adopted curricular resources, influence of CCSSM assessment and teacher evaluation on the instructional environment, influence of the CCSSM on classroom instruction, teachers’ planning practices, and perceived rigor of the CCSSM. The data suggest that teachers’ use of digital resources located online was disconnected from their district‐adopted resources suggesting a lack of curricular coherence. MSMTs note that the CCSSM had caused them to incorporate more reform‐oriented practices such as exploration and productive struggle into their daily instruction. MSMTs also perceive that the CCSSM includes new content that is more rigorous than previous state standards. Sampled MSMTs state that while state assessments will measure CCSSM content, they are less likely to include more complex problems or the standards for mathematical practice. Teachers are more likely to read teacher resources than student textbook activities online and to use digital resources for remediation instead of inquiry activities. Over one‐third of MSMTs wanted more CCSSM professional development.     

Stepping into iSMART: Understanding Science–Mathematics Integration for Middle School Science and Mathematics Teachers

This paper is based on an online graduate program for middle school science and mathematics teachers in Texas titled Integration of Science, Mathematics and Reflective Teaching (iSMART). Launching the program for its first cohort in fall 2010, the authors attempted to answer the following two questions in this paper: (a) How do the members of the iSMART design team and the first cohort of teacher participants define science and mathematics integration with similar and different emphases? and (b) How would these definitions and concerns impact the ongoing design of the program? The iSMART design team members and the participating cohort teachers had a shared view regarding the importance of integration and its possible impact on student motivation. The findings also revealed that the two groups showed some different points of emphasis in their definitions of integration. These issues will be addressed in the ongoing design of the program in the following three areas: (a) design of the second summer meeting activities, (b) greater emphasis on teacher as researcher and action research, and (c) administrative support for teacher collaboration.     

Supporting Middle School Teachers’ Implementation of STEM Design Challenges

We describe and analyze a professional development (PD) model that involved a partnership among science, mathematics and education university faculty, science and mathematics coordinators, and middle school administrators, teachers, and students. The overarching project goal involved the implementation of interdisciplinary STEM Design Challenges (DCs). The PD model targeted: (a) increasing teachers’ content and pedagogical content knowledge in mathematics and science; (b) helping teachers integrate STEM practices into their lessons; and (c) addressing teachers’ beliefs about engaging underperforming students in challenging problems. A unique aspect involved low‐achieving students and their teachers learning alongside each other as they co‐participated in STEM design challenges for one week in the summer. Our analysis focused on what teachers came to value about STEM DCs, and the challenges in and affordances for implementing DCs. Two significant areas of value for the teachers were students’ use of scientific, mathematical, and engineering practices and motivation, engagement, and empowerment by all learners. Challenges associated with pedagogy, curriculum, and the traditional structures of the schools were identified. Finally, there were four key affordances: (a) opportunities to construct a vision of STEM education; (b) motivation to implement DCs; (c) ambitious pedagogical tools; and, (d) ongoing support for planning and implementation. This article features a Research to Practice Companion Article . Please click on the supporting information link below to access.     

Service Learning Within a Secondary Math and Science Teacher Education Program: Preservice MAT Teachers’ Perspectives

Previous literature suggests that service learning may offer new opportunities to support the development of preservice science and math teachers, but few studies examine service learning beyond isolated teaching events. In this qualitative study, we attempt to improve upon this literature by following Master of Arts in Teaching (MAT) students’ views of their service learning experiences throughout their MAT program and first two years teaching. Data sources included audiotaped individual interviews, focus group field notes, and surveys with seven preservice teachers over a three‐year period. Three major findings emerged from the data analysis. First, participants identified characteristics of service learning teaching events that made them particularly useful, and these included the timing of events, targeted grade level, exposure to high‐needs contexts, and opportunities to practice pedagogical skills. Second, participation in the service learning events improved preservice teachers’ confidence and comfort teaching in high‐needs contexts, but several concerns and deficit perspectives about teaching in high‐needs contexts remained. Third, participants indicated specific ways that the service learning teaching events impacted their readiness to teach in high‐needs contexts. These findings may inform other science and math teacher educators seeking to embed service learning opportunities into their programs.     

Practitioner's Research: A Study in Changing Preservice Teachers’ Conceptions About Mathematics and Mathematics Teaching and Learning

Educators involved in the current reform movement in mathematics education recommend that students be actively involved in constructing their own knowledge and developing powerful mathematical concepts. This study suggests how ideas based on constructivist learning theory can be put into practice in a preservice mathematics education class.     

Teaching and Coherent Science: An Investigation of Teachers’ Beliefs About and Practice of Teaching Science Coherently

This article is about an investigation of six middle school science teachers’ beliefs and instructional practice about the coherence of the science they teach as articulated by National Science Education Standards ( NRC, 1996 ). Many well intentioned reform efforts focus on improving content knowledge of teachers, but many classroom teachers regularly miss opportunities to provide conceptual connections within the science ideas building the sense of coherence in science. This investigation involved a quasi experimental study to examine the efficacy of a method for collecting data about middle school science teachers’ thinking about science and to determine if they teach science coherently. The teachers were surveyed, interviewed, provided concept maps about their thinking of the science they taught, and observed to investigate whether their practice reflects their beliefs. An examination of the teachers’ beliefs, stated and unstated curriculum, the connections among topics and the nature of science revealed that one, the observation tool may have merit for identifying the content and connections among science topics, and two, that teachers ‘stated beliefs consistent with the National Science Education Standards’ vision for coherent science, did not match their demonstrated practice. The content taught could be characterized in three ways; coherent content and few connections, coherent content and connections, and not coherent content. This indicates for this group of middle school science teachers that knowing how they think about science and how those beliefs are reflected in their teaching is complex. This study can inform teacher education and professional development efforts about the need to move beyond just content enhancement to examine prior beliefs about the connections of concepts within science.     

Parents’ Attitudes Toward Mathematics and the Influence on Their Students’ Attitudes toward Mathematics: A Quantitative Study

The purpose of this study was to investigate parents’ attitudes toward mathematics, their students' attitude toward mathematics, and the influence of the parents’ attitude on the students' attitude toward mathematics. Data analyses revealed statistically significant positive correlations between parents’ and students’ attitudes toward mathematics. Additionally, parents’ mathematics attitude significantly predicted students’ attitudes toward mathematics (n=146). By understanding the influence of parents’ attitudes on students’ attitudes toward mathematics, school efforts can be geared toward fostering favorable attitudes toward mathematics among parents.