Prospective Early Childhood and Elementary School Mathematics Teachers’ Concept Images and Concept Definitions of Triangles

International Journal of Science and Mathematics Education - This study presents a characterization of prospective early childhood teachers’ (ECEPTs) and prospective elementary school...     

Manipulative Use and Elementary School Students’ Mathematics Learning

Using data from the Early Childhood Longitudinal Study (ECLS) 1998/1999, we examine the relationship between elementary students’ (K–5) manipulative use and mathematics learning. Using a cross-sectional correlational analysis, we found no relationship between manipulative use and student mathematics achievement. However, using a longitudinal analysis, we documented a positive relationship between manipulative use and student mathematics learning during their elementary school years (K–5). From a teaching and learning perspective, these findings provide important evidence of the influence of long-term manipulative use on students’ overall learning. From policy and methodological perspectives, these findings provide evidence for the importance of modeling student learning (as opposed to achievement) when studying the effectiveness of instructional strategies.     

The PISA Tasks: Unveiling Prospective Elementary Mathematics Teachers’ Difficulties with Contextual,Conceptual, and Procedural Knowledge

The aim of this mixed methods study was to investigate the difficulties prospective elementary mathematics teachers have in solving the Programme for International Student Assessment (PISA) 2012 released items. A mathematics test consisting of 26 PISA items was administered, followed by interviews. Multiple data were utilized to provide rich insights into the types of mathematical knowledge that a particular item requires and prospective teachers’ difficulties in using these knowledge types. A sample of 52 prospective teachers worked the mathematics test, and 12 of them were interviewed afterwards. The data-sets were complementary: the quantitative data showed that PISA items could be categorized under contextual, conceptual, and procedural knowledge and indicated the most frequent difficulties in the combined contextual, conceptual, and procedural knowledge items. The qualitative data revealed that few prospective teachers could give mathematical explanations for conceptual knowledge items, and that their contextual knowledge was fragmented. Educational implications were discussed.     

Student Perceptions of a Mathematics Major for Prospective Elementary Teachers with an Inquiry‐Based Philosophy

Abstract

In this paper we present data from one-on-one interviews conducted with students who have taken intermediate and advanced inquiry-based mathematics courses in a program that prepares future preK-8 teachers. Many of these students entered college with a fear of math, but then gained confidence from a required introductory math course and chose to pursue a major in Mathematics for Teaching. These interviews help explain their choice to pursue this major and their general experiences in IBL math classes. These insights were used to improve our program and may also help other mathematics instructors and programs that hope to implement an inquiry-based approach in their departments.     

Measuring Elementary Student’s Mathematics Motivation: A Validity Study

The psychometric properties of a 10-item math motivation scale were empirically validated with an independent sample consisting of 182 elementary-school students. Analysis of the model dimensionality supported a one-factor structure fit. Item parameter estimates from a Classical Test Theory framework revealed that most items were highly discriminating, and the survey is informative for students of low to average math motivation. Differential item functioning (DIF) analyses found two items exhibiting gender bias. Overall, the instrument was a psychometrically valid instrument for measuring math motivation at the elementary level.     

Commitment to Teach in Under-Resourced Schools: Prospective Science and Mathematics Teachers’ Dispositions

In this exploratory study, we sought to gain an understanding of what motivates prospective teachers who are Noyce Scholars at a research-intensive southeastern US university to commit to teaching secondary level science or mathematics in school districts that have a high proportion of students who come from low-socioeconomic households. An interpretive methodology revealed three themes associated with Noyce Scholars’ motivations to teach (1) awareness of educational challenges, (2) sense of belonging to or comfort with diverse communities, and (3) belief that one can serve as a role model and resource. The paper describes and compares the significance of each theme among six prospective teachers who identify with the schooling experiences of students who came from low-income or poor households and nine prospective teachers who identify with the schooling experiences in a middle-income school or district. The implication of this study supports the importance of recruiting prospective science and mathematics teachers who have knowledge of and a disposition to work with learners from low-income or poor households, even if those prospective teachers are not themselves the members of under-served populations.     

Elementary Teachers’ Mathematics Subject Knowledge: the Knowledge Quartet and the Case of Naomi

This paper draws on videotapes of mathematics lessons prepared and conducted by pre-service elementary teachers towards the end of their initial training at one university. The aim was to locate ways in which they drew on their knowledge of mathematics and mathematics pedagogy in their teaching. A grounded approach to data analysis led to the identification of a ‘knowledge quartet’, with four broad dimensions, or ‘units’, through which mathematics-related knowledge of these beginning teachers could be observed in practice. We term the four units: foundation, transformation, connection and contingency. This paper describes how each of these units is characterised and analyses one of the videotaped lessons, showing how each dimension of the quartet can be identified in the lesson. We claim that the quartet can be used as a framework for lesson observation and for mathematics teaching development.     

Teachers’ beliefs and practices regarding academic support following concussion

Teachers play an important role in supporting students' return to school after concussion. This online cross sectional survey examined teachers' beliefs and practices regarding concussion and academic support strategies, or academic adjustments (AA). Most teachers (99.1%) agreed-to-strongly agreed concussions affect school performance, and many (71.6%) have worked with a student who received AA after concussion. Teachers who participated in concussion education and observed a decline in a student's academic performance after concussion were more familiar with and recommended AA more often. Professional development is recommended to provide teachers with practical and timely resources to enhance support for students after concussion.     

A micro-perspective on students’ behavioral engagement in the context of teachers’ instructional support during seatwork: Sources of variability and the role of teacher adaptive support

Despite increased acknowledgement of the significance of situational factors to engagement, engagement is traditionally seen as a student characteristic. In this study, we investigated to what extent variation in observational measures of behavioral student engagement during seatwork is due to students versus teachers, teacher-student dyads, or situational (i.e., variation in time) effects. Additionally, we studied whether adaptive support during teacher-student interactions contributes to student engagement following that interaction. A cross-classified multilevel analysis of 324 video- and audio-recorded secondary school teacher-student interactions showed that situational factors and error were the strongest source of variability in student engagement. Other than expected, teacher-related and dyad-related variability were limited. Although behavioral engagement after teacher-student interaction was significantly higher than pre-interaction student engagement, higher post-interaction levels were not related to the level of adaptive support provided during the teacher-student interaction. These findings imply that situational factors deserve more attention in engagement research, for example by investigating what situational factors contribute to engagement. For teachers, the time-variant, situation-dependent nature of engagement opens up valuable opportunities to actively design optimal learning situations.     

Prospective Elementary Teachers’ Analysis of Children’s Science Talk in an Undergraduate Physics Course

We investigated how prospective teachers used physics content knowledge when analyzing the talk of elementary children during special activities in an undergraduate physics content course designed for prospective teachers. We found that prospective teachers used content knowledge to reflect on their own learning and to identify students’ science ideas and restate these ideas in scientific terms. Based on this research, we inferred that analyzing children’s ideas through videos provides a meaningful context for applying conceptual physics knowledge in physics courses. Activities that are embedded within a disciplinary curriculum, such as those studied here, may help prospective teachers learn to use disciplinary knowledge in exactly the type of activity in which their content knowledge will be most useful: listening to and interpreting children’s science ideas.     

General and special education teachers’ knowledge about reading comprehension processes and instructional practices

Reading and Writing - The study investigated teachers’ knowledge of reading comprehension processes and reading comprehension instruction. The study was carried out among teachers...     

A child’s psychological adjustment impacts teachers’ instructional support and affective response

This cross-lagged longitudinal study examines the evocative impact of a child’s psychological adjustment on teachers’ affective response and instructional support for a child, and the influence this support and response has on the child’s subsequent adjustment. A hundred and seventeen Finnish teachers self-rated the instructional support they gave, and the affect they experienced while teaching 307 children from school grades 1, 2 and 3. Teachers also rated the level of prosocial and externalizing problem behaviour among children. Results showed that the more children exhibited externalizing problem behaviour in grades 1 and 2, teachers not only did provide more instructional support for them a year later but, at the same time, they reported feeling less positive affect. Low levels of positive affect were also reported by teachers a year later with regard to children who had received more instructional support from them in grades 1 and 2.     

Uncovering changes in university teachers’ professional networks during an instructional development program

This study examined (1) the extent to which university teachers’ networks changed while they participated in an instructional development program, (2) which mechanisms supported or constrained network change, and (3) the extent to which value was created through networks. Longitudinal social network data combined with follow-up interviews were collected over a 2-year time frame from 16 university teachers participating in an instructional development program. Results showed that teachers’ networks increased and remained relatively stable after the program had finished. Several underlying mechanisms for network change throughout the program were identified (e.g., departmental culture, network intentionality, trust). Moreover, both expressive (e.g., venting) and instrumental value (e.g., getting ideas or feedback) were created through teachers’ networks. This research contributes to our understanding of the social side of instructional development.     

Changes in teachers’ instructional skills during an intensive data-based decision making intervention

This study evaluates changes in teachers' instructional skills after participating in an intensive data-based decision making (DBDM) intervention for grade 4 teachers. Teachers were recorded three times prior to the intervention, and three times after the intervention, and all recordings were rated by four raters. The data was analyzed by means of advanced item response theory (IRT) techniques, combined with a generalizability model. Teachers significantly improved their DBDM related skills. Teachers’ initial basic teaching skills did not seem to matter for the extent to which teachers developed their DBDM related instructional skills. Suggestions for future research are presented.     

Alignment, cohesion, and change: Examining mathematics teachers’ belief structures and their influence on instructional practices

This collective case study reports on an investigation into the relationship between mathematics teachers’ beliefs and their classroom practices, namely, how they organized their classroom activities, interacted with their students, and assessed their students’ learning. Additionally, the study examined the pervasiveness of their beliefs in the face of efforts to incorporate reform-oriented classroom materials and instructional strategies. The participants were five high school teachers of ninth-grade algebra at different stages in their teaching career. The qualitative analysis of the data revealed that in general beliefs were very influential on the teachers’ daily pedagogical decisions and that their beliefs about the nature of mathematics served as a primary source of their beliefs about pedagogy and student learning. Findings from the analysis concur with previous studies in this area that reveal a clear relationship between these constructs. In addition, the results provide useful insights for the mathematics education community as it shows the diversity among the inservice teachers’ beliefs (presented as hypothesized belief models), the role and influence of beliefs about the nature of mathematics on the belief structure and how the teachers designed their instructional practices to reflect these beliefs. The article concludes with a discussion of implications of teacher education.     

Fostering Third-Grade Students’ Use of Scientific Models with the Water Cycle: Elementary teachers’ conceptions and practices

Elementary teachers play a crucial role in supporting and scaffolding students’ model-based reasoning about natural phenomena, particularly complex systems such as the water cycle. However, little research exists to inform efforts in supporting elementary teachers’ learning to foster model-centered, science learning environments. To address this need, we conducted an exploratory multiple-case study using qualitative research methods to investigate six 3rd-grade teachers’ pedagogical reasoning and classroom instruction around modeling practices (construct, use, evaluate, and revise) and epistemic considerations of scientific modeling (generality/abstraction, evidence, mechanism, and audience). Study findings show that all teachers emphasized a subset of modeling practices—construction and use—and the epistemic consideration of generality/abstraction. There was observable consistency between teachers’ articulated conceptions of scientific modeling and their classroom practices. Results also show a subset of the teachers more strongly emphasized additional epistemic considerations and, as a result, better supported students to use models as sense-making tools as well as representations. These findings provide important evidence for developing elementary teacher supports to scaffold students’ engagement in scientific modeling.     

The pedagogy of argumentation in science education: science teachers’ instructional practices

ABSTRACT

Argumentation has been a prominent concern in science education research and a common goal in science curriculum in many countries over the past decade. With reference to this goal, policy documents burden responsibilities on science teachers, such as involving students in dialogues and being guides in students’ spoken or written argumentation. Consequently, teachers’ pedagogical practices regarding argumentation gain importance due to their impact on how they incorporate this practice into their classrooms. In this study, therefore, we investigated the instructional strategies adopted by science teachers for their argumentation-based science teaching. Participants were one elementary science teacher, two chemistry teachers, and four graduate students, who have a background in science education. The study took place during a graduate course, which was aimed at developing science teachers’ theory and pedagogy of argumentation. Data sources included the participants’ video-recorded classroom practices, audio-recorded reflections, post-interviews, and participants’ written materials. The findings revealed three typologies of instructional strategies towards argumentation. They are named as Basic Instructional Strategies for Argumentation, Meta-level Instructional ?St??rategies for ?Argumentation, and Meta-strategic Instructional ?St??rategies for ?Argumentation. In conclusion, the study provided a detailed coding framework for the exploration of science teachers’ instructional practices while they are implementing argumentation-based lessons.     

Prospective and In-Service Mathematics Teachers’ Attention to a Rich Mathematics Task While Planning its Implementation in the Classroom

International Journal of Science and Mathematics Education - This study explores secondary mathematics teachers’ attention to the three components of Jaworski’s (1992) “teaching...