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If teachers make few connections among multiple representations of division, supporting students in using representations to develop operation sense demanded by national standards will not occur. Studies have investigated how prospective and practicing teachers use representations to develop knowledge of fraction division. However, few studies examined primary ( K-3) teachers' learning of contextual division problems, making connections among representations of division, and resolving the ambiguity of representing quotients with remainders. A written post-course assessment provided evidence that most teachers created partitive division word problems, used a set model without splitting the remainder, and wrote equations with limited success. Post-course written reflections demonstrated that many teachers developed pedagogical knowledge for helping students make connections among multiple representations, and mathematical knowledge of unit fractions. These findings suggest two areas that have implications for mathematics teacher educators who design professional development courses to facilitate teachers' learning of mathematical content and pedagogical knowledge of division and fraction relationships. [ABSTRACT FROM AUTHOR]

With the increasing emphasis on integrating engineering into K-12 classrooms to help meet the needs of our complex and multidisciplinary society, there is an urgent need to investigate teachers' engineering-focused professional development experiences as they relate to teacher learning, implementation, and student achievement. This study addresses this need by examining the effects of a professional development program focused on engineering integration, and how teachers chose to implement engineering in their classrooms as a result of the professional development. 198 teachers in grades 3-6 from 43 schools in 17 districts participated in a yearlong professional development program designed to help integrate the new state science standards, with a focus on engineering, into their teaching. Posters including lesson plans and student artifacts were used to assess teachers' engineering practices and the implementation in their classrooms. Results indicated that the majority of the teachers who participated in the professional development were able to effectively implement engineering design lessons in their classrooms suggesting that the teachers' success in implementing engineering lessons in their classroom was closely related to the structure of the professional development program. [ABSTRACT FROM AUTHOR]

Research has indicated that experts' subject matter knowledge structures ( SMKSs) differ from those of novices in that they contain more cross-linking, interconnections, and overarching thematic elements, characteristics that are in accordance with those espoused in current reform documents. Unfortunately, teachers' SMKSs are not necessarily translated into classroom practice, for either novice or more experienced classroom teachers. A means to facilitate the translation of teachers' SMKSs into practice would ensure that those desired characteristics of experts' subject matter knowledge manifest themselves in teachers' classroom practice. Four experienced physics teachers diagrammed their SMKSs, which were then compared to those inferred from their classroom practice. Prior to instruction, two teachers, as part of the explicit-reflective treatment, were asked to reflect at multiple time points on congruence between their SMKSs and classroom practice focusing on the presence of essential concepts, interconnections, and overarching thematic elements. No discernible difference was apparent between control and treatment groups, as teachers from both groups showed a high-degree of congruence between inferred and diagrammed SMKSs. Results further substantiate the challenges in identifying a means for both developing and facilitating the enactment of coherent, connected, and dynamic SMKSs or, in effect, accelerating teachers' pedagogical content knowledge. [ABSTRACT FROM AUTHOR]

The purpose of the study was to assess elementary students' science process skills, content knowledge, and concept knowledge after one year of participation in an elementary Science, Technology, Engineering, and Mathematics ( STEM) program. This study documented the effects of the combination of intensive professional development and the use of inquiry-based science instruction in the elementary classroom, including the benefits of using rigorous science curriculum with general education students. The results of the study revealed a statistically significant gain in science process skills, science concepts, and science-content knowledge by general education students in the experimental group when compared with students in the comparison group. Moreover, teacher participation in the STEM program had a statistically significant impact on students' variability in posttest scores. These interim student performance data support the implementation of rigorous differentiated science curriculum focused on improving science concept, content knowledge, and process skills. [ABSTRACT FROM AUTHOR]