College Science, Mathematics, and Methods Teaching Faculty Talk About Science and Mathematics: An Examination of Faculty Discourse in a Reform-Based Teacher Preparation Program

In this study discourse and conversation analyses were performed on talk by science and mathematics teaching faculty participating in reforming content courses for teacher candidates participating in a mathematics and science teacher preparation project (upper elementary and middle level). The context of the study was the Maryland Collaborative for Teacher Preparation (MCTP), a National Science Foundation funded project in the USA. The study's goal was to explore the use of discourse and conversation analyses as ways to understand faculty beliefs concerning mathematics and science, two disciplines the MCTP project aimed to connect. Discussion focused on two areas: (1) the comparison of the discourse on science and mathematics by the science, mathematics, and pedagogy content specialists, and (2) the impact of collaboration on the science and mathematics teaching faculty's conversation on science and mathematics. An implication of this study is to promote the analysis of talk as way to inform and direct faculty transformation in science and mathematics teacher education programs. Future research is recommended.     

A Review of the Literature on Mathematics and Science Teacher Quality

A large body of literature exists that examines teacher quality characteristics and the relationship of indicators of those characteristics to teacher effectiveness. This existing research literature broadly views teacher quality research without illuminating specific areas of teacher quality, such as mathematics and science. In an effort to focus the literature base for researchers and policymakers more narrowly, this review specifically examines teacher quality as it relates to mathematics and science teaching and learning. The review highlights key policy and practitioner perspectives, provides a focused synthesis on current research findings on mathematics and science teacher quality, and suggests areas of research that are limited in the literature.     

Undergraduates' attitudes and beliefs about subject matter and pedagogy measured periodically in a reform‐based mathematics and science teacher preparation program

This study describes the design and use of a valid and reliable instrument to measure teacher candidates' attitudes and beliefs about mathematics and science and the teaching of those subjects. The instrument, Attitudes and Beliefs about the Nature of and the Teaching of Mathematics and Science, was developed for the Maryland Collaborative for Teacher Preparation (MCTP), a statewide, standards‐based project in the National Science Foundation's Collaborative in Excellence in Teaching Preparation (CETP) Program. We report on two applications of the instrument: (a) a contrast between MCTP teacher candidates' and non‐MCTP teacher candidates' attitudes and beliefs about mathematics and science as they initially encountered reform‐based instruction in their undergraduate courses, and (b) a landscaping of how the MCTP teacher candidates' attitudes toward and beliefs about mathematics and science evolved over a 2.5‐year period. In support of current reform in science and mathematics teacher education, we determined that over an extended period the MCTP teacher candidates' attitudes and beliefs moved substantively and significantly in the direction intended. However, we also found that the non‐MCTP teacher candidates in the same reform‐based courses did not mirror this improvement in their attitudes and beliefs about mathematics and science or the teaching of those subjects. © 2002 Wiley Periodicals, Inc. J Res Sci Teach 39: 713–737, 2002     

Reification of instructional materials as part of the process of developing problem‐based practices in mathematics education

This teacher development study closely examined a teacher's practice for the purpose of understanding how she selected and implemented instructional materials, and correspondingly how these processes changed as she developed her problem‐based practice throughout a school year. Data sources included over 20 hours of planning and analysis meetings with the teacher and 27 video‐taped lessons with discussions before and after each lesson. Through qualitative analysis we examined the data for: students' cognitive demand for curricular materials the teacher selected and implemented; teacher's beliefs and practices for students' engagement in mathematical thinking; and teacher's and students' communication about mathematics during instruction. We found that the teacher shifted her views and use of instructional materials as she changed her practice towards more problem‐based approaches. The teacher moved from closely following her traditional, district‐adopted textbook to selecting problem‐based tasks from outside resources to build a curriculum. Simultaneously, she changed her practice to focus more on students' engagement in mathematical thinking and their communication about mathematics as part of learning. During this shift in practice, the teacher began to reify instructional materials, viewing them as instruments of her practice to meet students' needs. The process of shifting her views was gradual over the school year and involved substantial analysis and reflection on practice from the teacher. Implications include that teachers and teacher educators may need to devote more attention and support for teachers to use instructional materials to support instruction, rather than materials to prescribe instruction. This use of instructional materials may be an important part of transforming practice overall.     

Evaluating students' science notebooks as an assessment tool

The idea of using science notebooks as a classroom assessment tool is not new. There is general agreement that science notebooks allow teachers to assess students' conceptual and procedural understanding and to provide the feedback students need for improving their performance. In this study we examined the use of science notebooks as an unobtrusive assessment tool that can also be used by individuals outside the classroom (for example, school district personnel), and as a means for obtaining information about students' learning and their opportunities to learn. More specifically, in this study students' science notebooks were used as a source of data about the (a) implementation of a curriculum's intended activities, (b) students' performance, and (c) quality of teachers' feedback. Our results indicated that: (1) Students' science notebooks can be reliably scored. Unit implementation, student performance, and teacher feedback scores were highly consistent across raters and units. (2) High and positive correlations with other performance assessment scores indicated that the student performance score can be considered as an achievement indicator. And (3) low performance scores across the two units revealed that students' communication skills and understanding were far away from the maximum score and did not improve over the course of instruction during the school year. This result may be due, in part, to the fact that no teacher feedback was found in any of the students' notebooks across the six classrooms studied. This may reflect some characteristics of the teachers' assessment practices that may require further professional development.     

The impact of a Framework‐aligned science professional development program on literacy and mathematics achievement of K‐3 students

This study investigates the effect of a Framework‐aligned professional development program at the PreK‐3 level. The NSF funded program integrated science with literacy and mathematics learning and provided teacher professional development, along with materials and programming for parents to encourage science investigations and discourse around science in the home. This quasi‐experimental study used a three‐level hierarchical linear model to compare the Renaissance STAR Early Literacy, Reading, and Mathematics scores from 2015 to 2016 of K‐3 students in treatment and control classrooms in a large Midwestern urban school district. The statistically significant results indicate that, on average, every year that a student has a program teacher adds 8.6 points to a student's spring STAR Early Literacy score, 17.0 points to a student's STAR Mathematics score, and 41.4 points to a student's STAR Reading score compared to control students. Implications for early elementary teacher education and policy are discussed. © 2017 Wiley Periodicals, Inc. J Res Sci Teach 54:1174–1196, 2017     

Students’ formative assessment perceptions,feedback use and mathematics performance in secondary schools in Tanzania

This study investigates the impact of secondary school students’ perceptions of mathematics teachers’ formative assessment practices and feedback delivery on their feedback use, and mathematics performance. The sample consisted of 2767 Form 3 (Grade 11) students from 48 secondary schools in Tanzania. Surveys and focus group discussions were used to measure students’ perceptions of formative assessment, feedback delivery, and feedback use. Structural Equation Modelling (SEM) of survey data showed that students’ perceptions of the quality of teacher feedback delivery and perceived scaffolding positively predicted students’ feedback use whereas perceived monitoring negatively predicted feedback use. In turn, students’ feedback use positively predicted their mathematics performance to a small extent. Content analysis of focus group discussions illustrated that most students valued their mathematics teacher’s assessment practices. The findings imply that in Sub-Saharan African educational systems the quality of teacher feedback delivery and promotion of student feedback use can improve students’ mathematics performance.     

Two Fifth Grade Teachers' Use of Real-World Situations in Science and Mathematics Lessons

The purpose of this study was to investigate the types, sources, and cognitive levels of tasks that included real-life situations used in science and mathematics lessons in the classrooms of two 5th-grade teachers at an urban elementary school in Turkey. A qualitative approach was used to analyze data that included classroom observations, teacher interviews, and document collection. Results showed that in contrast to mathematics instruction, science instruction often relied on real-life situations in explaining scientific concepts. Mathematics lessons mainly included textbook-oriented real-life situations. On the other hand, the science lessons relied primarily on teacher- and student-oriented real-life contexts. While science instruction included personal, social, global, and historical situations, mathematics instruction involved only personal and educational situations in making real-life connections. Results further showed that, in contrast to science instruction, many of the real-life tasks used by the teacher in the mathematics lessons were cognitively demanding.     

What Can Mathematics Educators in England Learn from TIMSS?

In most of the countries taking part in TIMSS, students scored at similar levels for mathematics and science. England was one of the few countries where the results did not conform to this pattern. The key question for mathematics educators in England is: why did students in England perform relatively well in science but relatively badly in mathematics? The results for 9-year-olds were particularly intriguing since the majority of students at this age in England were taught mathematics and science by their class teacher. In order to seek answers to the question posed above, this article compares the responses to the TIMSS context questionnaires made by 9-year-olds and their teachers in the 13 European countries taking part in the TIMSS survey of that age group (Population 1). Issues examined include: curriculum content; lesson time; homework; class size; use of calculators in mathematics; practical activities in science; classroom organisation and students’ attitudes.     

The effect of Newsday's science education series program on selected ninth-grade students' comprehension of science reading material

Reading is a communication process that is crucial to students in science. Printed text materials are the most widely used teacher aids in the classroom. But reading as a major focus of science instruction has been out of favor with the mainstream of science education since the late 1950s. Despite this, few would deny the value of reading skills in a science class. The purpose of the present investigation was to determine how the use of Newsday's Science Education Series Program affected selected ninth-grade students' comprehension of science reading material. Analysis of covariance showed that students with standardized reading and mathematics scores at least two years above grade level who were taught using newspaper science articles alone had Degrees of Reading Power posttest scores higher at the 0.05 level of significance compared to students taught using Newsday's Science Education Series Program or using only the science article's content as part of class lessons. Students with standardized reading and mathematics scores on grade level taught using Newsday's Science Education Series Program had Degrees of Reading Power posttest scores higher at the 0.01 level of significance compared to students taught by either of the other methods.     

MyTeachingPartner-Math/Science pre-kindergarten curricula and teacher supports: Associations with children's mathematics and science learning

MyTeachingPartner-Math/Science (MTP-MS) is a system of two curricula (math and science) plus teacher supports designed to improve the quality of instructional interactions in pre-kindergarten classrooms and to scaffold children's development in mathematics and science. The program includes year-long curricula in these domains, and a teacher support system (web-based supports and in-person workshops) designed to foster high-quality curricular implementation. This study examined the impacts of the intervention on the development of mathematics and science skills of 444 children during pre-kindergarten, via school-level random assignment to two intervention conditions (Basic: MTP-M/S mathematics and science curricula, and Plus: MTP-M/S mathematics and science curricula plus related teacher support system) and a Business-As-Usual control condition (BaU). There were intervention effects for children's knowledge and skills in geometry and measurement as well as number sense and place value: Children in Plus classrooms made greater gains in geometry and measurement, compared with those in BaU classrooms. Children in Plus classrooms also performed better on the number sense and place value assessment than did those in Basic or BaU classrooms. We describe the implications of these results for supporting the development of children's knowledge and skills in early childhood and for developing and providing teachers with professional development to support these outcomes.     

Use of learner‐centered instruction in college science and mathematics classrooms

Learner‐centered approaches to science and mathematics instruction assume that only when students are active participants will learning be deep, enduring, and enjoyable, and transfer to contexts beyond the classroom. Although their beneficial effects are well known, the extent to which learner‐centered practices are used in college classrooms may be low. Surveys of undergraduate science and math majors reveal general dissatisfaction with how courses in their majors are taught, and their number is half what it was 2 decades ago. In response, federally funded systemic reform initiatives have targeted increasing the use learner‐centered instruction in science and mathematics courses to improve undergraduate education generally and the training of preservice teachers specifically. Few data exist regarding how effective these initiatives have been or how frequently learned‐centered instruction occurs as assessed from faculty's perspective, which may not corroborate undergraduate perceptions. Accordingly, a survey was developed to assess the use of learner‐centered techniques and was administered to science and math professors of Louisiana over the Internet. The return rate was 28%. Analyses reveal that they are used infrequently, but when used, are applied to all aspects of teaching. Data also suggest that federal funding has been slightly effective in promoting its use. © 2003 Wiley Periodicals, Inc. J Res Sci Teach 40: 566–584, 2003     

Teacher support,instructional practices,student motivation,and mathematics achievement in high school

The authors examined the relationships among teacher classroom practices, student motivation, and mathematics achievement in high school. The data for this study was drawn from the base-year data of High School Longitudinal Study of 2009. Structural equation modeling method was used to estimate the relationships among variables. The results indicate that conceptual teaching positively affected student mathematics achievement, whereas procedural emphasis in mathematics instruction had a negative effect. Teacher support influenced student mathematics achievement indirectly through students' mathematics self-efficacy, and also influenced students' interest in mathematics courses. Finally, students with higher levels of family socioeconomic status and prior achievement were more likely to have teachers who use conceptual teaching strategies. Students with higher prior achievement were also more likely to perceive higher levels of teacher support. The findings have theoretical and practical implications.     

On the alignment of teachers’ mathematical content knowledge assessments with the common core state standards

Instruments designed to measure teachers’ knowledge for teaching mathematics have been widely used to evaluate the impact of professional development and to investigate the role of teachers’ knowledge in teaching and student learning. These instruments assess a mixture of content knowledge and pedagogical content knowledge. However, little attention has been given to the content alignment between such instruments and curricular standards, particularly in regard to how content knowledge and pedagogical content knowledge items are distributed across mathematical topics. This article provides content maps for two widely used teacher assessment instruments in the USA relative to the widely adopted Common Core State Standards. This common reference enables comparisons of content alignment both between the instruments and between parallel forms within each instrument. The findings indicate that only a small number of items on both instruments are designed to capture teachers’ pedagogical content knowledge and that the majority of these items are focused on curricular topics in the later grades rather than in the early grades. Furthermore, some forms designed for use as pre- and post-assessment of professional development or teacher education are not parallel in terms of curricular topics, so estimates of teachers’ knowledge growth based on these forms may not mean what users assume. The implications of these findings for teacher educators and researchers who use teacher knowledge instruments are discussed.

     

Meta-Representation in an Algebra I Classroom

We describe how 1 Algebra I teacher and her 8th-grade students used meta-representational knowledge when generating and evaluating equations to solve word problems. Analyzing data from a sequence of 4 lessons, we found that the teacher and her students used criteria for evaluating equations, in addition to other types of knowledge (e.g., different interpretations of the equal sign) previously reported in the literature. Moreover, the teacher and her students had trouble understanding one another's proposed algebraic models of problem situations due to differences in the criteria that each applied, and this impeded learning. These findings (a) extend an accumulating body of evidence for the role meta-representation plays in mathematics and science learning and (b) add a new dimension to researchers' growing understanding of what teachers must know in order to teach algebra and other complex mathematics and science topics effectively.     

Netcourses and netseminars: Current practice and new designs

Netcourses—courses delivered primarily over digital networks—promise to provide learners with quality, low-cost learning opportunities anywhere and anytime. While having implications throughout education, adult professionals may be the first to make extensive use of netcourses. By increasing the quality and timeliness of teacher professional development while reducing its costs, netcourses could have a major impact on the quality of teaching. In order to understand the realities of this promise, we have reviewed in detail all netcourses for teachers in mathematics and science. As a result of this analysis, we have developed new designs for the effective use of this medium with mathematics and science teachers.     

Exploring the impact of written reflections on learning in the elementary mathematics classroom

The authors examined the implementation of written reflections in a Grade 4 mathematics classroom over the course of 8 weeks. Students in this case study engaged in a workshop modeled after Calkin's Writers' Workshop and within this workshop the use of writing as a reflective tool in mathematics was introduced. The authors explore how students used writing to evaluate their learning and how the teacher used the students' written reflections as a formative assessment for instructional purposes. Students' written reflections were coded and these codes were used to conduct an inductive thematic analysis. Analysis of written reflections via constant-comparison analysis was used for further differentiation. The findings show students' ability to accurately self-evaluate their problem-solving skills and highlighted students' confidence level with certain mathematical concepts. Teachers were able to use students' reflections as a place to begin conferring with a student for further clarification. The written reflections aided in instructional decisions and increased individual instruction when needed. The authors include implications for teacher practice and areas for future research.     

Development and use of a test instrument to measure biology teachers’ content knowledge (CK) and pedagogical content knowledge (PCK)

Research on teachers’ professionalism and professional development has increased in the last two decades. A main focus of this line of research has been the cognitive component of teacher professionalism, i.e., professional knowledge. Most of the previous studies on teacher knowledge—such as the Learning Mathematics for Teaching (LMT) (Hill et al. 2004), the Professional Competence of Teachers, Cognitively Activating Instruction, and Development of Students´ Mathematical Literacy (COACTIV) (Baumert et al. 2010), and the Mathematics Teaching in the 21st Century (MT21) (Schmidt et al. 2007) studies—have been conducted in the field of mathematics teachers’ pedagogical content knowledge (PCK) and content knowledge (CK). There have been few comparable studies conducted with science teachers, especially biology teachers. To fill the gap, this study examines the development and use of instruments to measure biology teachers’ CK and PCK. In particular, this study describes a method to develop reliable, objective, and valid instruments measuring teachers’ CK and PCK in four steps by the use of empirical data of students. Additionally, the study explores whether CK and PCK might be measured as separate knowledge categories by using a paper-and-pencil test. This paper presents a theoretical model that guides test development and provides steps to develop and validate the instruments. Details are also provided regarding the computation of the Rasch scale score measures for 158 biology teachers. The results indicate that the instruments measured teachers’ CK and PCK in an objective, valid, and reliable way. This suggests that the new instruments can be used in combination with classroom observations to examine teaching quality and further its relation to student learning.     

Research on Learners and Teachers of Mathematics and Science: Forerunners to a Focus on Teacher Educator Professional Growth

This introductory paper first reflects the genesis of research in mathematics and science teacher education. The analyses show a movement from foci of research in mathematics and science education from students to teachers, and then to teacher educators. Next, an overview of research in mathematics and science teacher education and its development is provided, including teacher educators’ growth. This is followed by a comparative look at the seven papers in this special issue through three lenses, focusing on who the teacher educators in these papers are, the practices which are the focus for development, and the contexts in which the professional growth is situated. The seven papers not only exemplify how teacher educators might critically and systematically reflect on their own growth, educate new teacher educators, and do corresponding research, but also demonstrate the considerable progress the research community has made with respect to the professional growth of mathematics and science teacher educators in the last decade. Finally, challenges and questions are raised, in particular in relation to raising the quality and quantity of proficient teacher educators in order to strengthen teacher education research, and to have enough human resources to offer more and better professional development opportunities and to support schools.