Investigating curricular effect on the teaching and learning of mathematics in a cultural context: Theoretical and methodological considerations

This first article of the special issue presents theoretical and methodological considerations about longitudinally investigating curricular effects on the teaching and learning of mathematics in a cultural context. In particular, in this article, we discuss seven issues related to the investigation of curricular effects on the teaching and learning of mathematics: (1) the need to investigate longitudinally the effects of curriculum, (2) the nature of the reform and non-reform curricula, (3) multiple representations of curriculum use, (4) assessment of classroom instruction, (5) student diversity and achievement gaps, (6) multiple measures of student mathematics achievement, and (7) multi-level analysis of student achievement data. This article not only serves as an introduction to the special issue, but most importantly, also provides a theoretical and methodological context for the two longitudinal projects.     

Teacher use of evidence to customize inquiry science instruction

This study investigated how professional development featuring evidence‐based customization of technology‐enhanced curriculum projects can improve inquiry science teaching and student knowledge integration in earth science. Participants included three middle school sixth‐grade teachers and their classes of students (N = 787) for three consecutive years. Teachers used evidence from their student work to revise the curriculum projects and rethink their teaching strategies. Data were collected through teacher interviews, written reflections, classroom observations, curriculum artifacts, and student assessments. Results suggest that the detailed information about the learning activities of students provided by the assessments embedded in the online curriculum motivated curricular and pedagogical customizations that resulted in both teacher and student learning. Customizations initiated by teachers included revisions of embedded questions, additions of hands‐on investigations, and modifications of teaching strategies. Student performance improved across the three cohorts of students with each year of instructional customization. Coupling evidence from student work with revisions of curriculum and instruction has promise for strengthening professional development and improving science learning. © 2010 Wiley Periodicals, Inc. J Res Sci Teach 47: 1037–1063, 2010     

The role of cognitive engagement in classroom learning and motivation

The article analyzes the concept of student cognitive engagement, and the manner in which classroom instruction may develop self‐regulated learners. Since theory and research on academic motivation, to date only vaguely define the role of learning processes, and since studies of learning strategies rarely assess motivational outcomes, our analysis integrates these two streams of literature. We also identify specific features of instruction and discuss how they might influence the complex of student interpretive processes focal to classroom learning and motivation. Measurement issues and research strategies peculiar to the investigation of cognitive engagement are addressed.     

Empirical evidence of the impact of lesson study on students’ achievement,teachers’ professional learning and on institutional and system evolution

In this article we review the evidence of the impact of lesson study on student learning, teacher development, teaching materials, curriculum, professional learning and system enhancement. We argue for lesson study to be treated holistically as a vehicle for development and improvement at classroom, school and system levels rather than as a curricular or pedagogical intervention. We illustrate the need for this approach to evaluating lesson study through a complex case exemplar which used Research Lesson Study (a form of lesson study popular in the UK and Europe) to develop learning, teaching, curriculum and local improvement capacity across schools initially involved in a two‐year mathematics curriculum development project that later evolved into three self‐sustaining, voluntary lesson study school hubs in London. We discuss resulting changes in culture, practice, belief, expectation and student learning. We argue as a result for greater policy level understanding of this expanded conception of lesson study as a vehicle in classroom, school and system transformation.     

The Relationship between Students' Connections to Out‐of‐School Experiences and Factors Associated with Science Learning

This study examined the relationship between students' out‐of‐school experiences and various factors associated with science learning. Participants were 1,014 students from two urban high schools (secondary schools). They completed a survey questionnaire and science assessment describing their science learning experiences across contexts and science understanding. Using multilevel statistical modelling, accounting for the multilevel structure of the data with students (Level 1) assigned to teachers (Level 2), the results indicated that controlling for student and classroom factors, students' ability to make connections between in‐school and out‐of‐school science experiences was associated with positive learning outcomes such as achievement, interest in science, careers in science, self‐efficacy, perseverance, and effort in learning science. Teacher practice connecting to students' out‐of‐school experiences was negatively associated with student achievement but has no association with other outcome measures. The mixed results found in this study alert us to issues and opportunities concerning the integration of students' out‐of‐school experiences to classroom instruction, and ultimately improving our understanding of science learning across contexts.     

Perceived autonomy support,intrinsic motivation,and student ratings of instruction

Motivation theory suggests that autonomy supportiveness in instruction often leads to many positive outcomes in the classroom, such as higher levels of intrinsic motivation and engagement. The purpose of this study was to determine whether perceived autonomy support and course-related intrinsic motivation in college classrooms positively predict student ratings of instruction. Data were collected from 47 undergraduate education courses and 914 students. Consistent with expectations, the results indicated that both intrinsic motivation and autonomy support were positively associated with multiple dimensions of student ratings of instruction. Results also showed that intrinsic motivation moderated the association between autonomy support and instructional ratings—the higher intrinsic motivation, the less predictive autonomy support, and the lower intrinsic motivation, the more predictive autonomy support. These results suggest that incorporating classroom activities that engender autonomy support may lead to improved student perceptions of classroom instruction and may also enhance both student motivation and learning.     

Secondary school renewal: the effect of classroom learning culture on educational outcomes

The study was grounded on theoretical propositions and empirical research concerning school effectiveness, classroom effectiveness, school improvement and school renewal. In particular, improving student learning outcomes through improving and renewing schools is dependent on changing classroom cultures of learning and teaching. A model of classroom culture consisting of student educational values (dependent variable), formal learning outcomes (dependent variable), and the attitudes and behaviours of students, teachers and parents (independent variables) was proposed. Hypothesised relationships between the dependent and independent variables were tested by multiple regression analysis of data from 988 students obtained from administration of a Rasch-model instrument assessing classroom culture. The classroom learning attitudes and behaviours of students were found to relate directly to educational outcomes, as were teacher expectations and parent attitudes and behaviours. The attitudes and behaviours of students and teachers towards classroom collaboration and caring were not confirmed to relate directly to learning outcomes. The findings of the investigation are discussed in the light of the theoretical assumptions upon which the study was based, including identification of the implications of the empirical results for understanding and facilitating renewal of secondary schools with the intention of improving educational outcomes in classrooms.     

Demystifying the Millennial student: a reassessment in measures of character and engagement in professional education

The characteristic profile of Millennial Generation students, driving many educational reforms, can be challenged by research in a number of fields including cognition, learning style, neurology, and psychology. This evidence suggests that the current aggregate view of the Millennial student may be less than accurate. Statistics show that Millennial students are considerably diverse in backgrounds, personalities, and learning styles. Data are presented regarding technological predilection, multitasking, reading, critical thinking, professional behaviors, and learning styles, which indicate that students in the Millennial Generation may not be as homogenous in fundamental learning strategies and attitudes as is regularly proposed. Although their common character traits have implications for instruction, no available evidence demonstrates that these traits impact their fundamental process of learning. Many curricular strategies have been implemented to address alleged changes in the manner by which Millennial students learn. None has clearly shown superior outcomes in academic accomplishments or developing expertise for graduating students and concerns persist related to the successful engagement of Millennial students in the process of learning. Four factors for consideration in general curricular design are proposed to address student engagement and optimal knowledge acquisition for 21st century learners.     

Relations Among Two Teachers’ Practices and Beliefs,Conceptualizations of the Nature of Science,and their Implementation of Student Independent Inquiry Projects

In this study we sought to understand factors that shaped teachers’ use of student inquiry projects. We examined, over 3 years, the practices and conceptions of two teachers involved in implementing student inquiry projects. Neither teacher was initially satisfied with her success at supporting student inquiry, but the two had very different responses to difficulties they faced. These responses related strongly to their ideas about how learning should be structured. There was less relation between their stated views about the nature of science and their use of inquiry than was expected. The teacher with espoused views about the nature of science generally in accord with reform documents did not support student inquiry projects that involved actual investigations. The teacher with views on the nature of science less aligned with reform documents worked hard to support student investigations in her classroom. Our findings support the claim that merely learning about the nature of science or about student inquiry may not generate changes in a teacher’s practice. On closer analysis, we found that the two teachers understood aspects of the nature of science from two quite different perspectives, the proximal and the distal. The proximal view of the nature of science was more closely aligned with implementation of actual student investigations. The efforts of these two teachers in implementing inquiry illustrate the dilemmas and challenges they faced as they attempted student inquiry projects.     

Exploring how teacher-related factors relate to student achievement in learning advanced algebra in technology-enhanced classrooms

In this study, we examine the relationship between contextual variables related to teachers and student performance in Advanced Algebra classrooms in the USA. The data were gathered from a cluster-randomized study on the effects of SimCalc MathWorlds^®, a curricular and technological intervention as a replacement for Algebra 2 curriculum, on student learning of Algebra 2 content. Conditional measures (teacher background characteristics) and instructional measures (self-reported instructional preferences, stances, and classroom practices) were subjected to a variety of empirical analyses to discern their relationship to student learning. Researchers examined both the overall effect of teacher contextual variables on student learning and the specific effect of SimCalc on both teacher instructional measures and student performance. There is evidence to support that teachers who use the SimCalc curriculum value classroom communication, deep understanding of math concepts, and support for both routine and non-routine problems.     

Inquiry in interaction: How local adaptations of curricula shape classroom communities

In this study, we seek a better understanding of how individuals and their daily interactions shape and reshape social structures that constitute a classroom community. Moreover, we provide insight into how discourse and classroom interactions shape the nature of a learning community, as well as which aspects of the classroom culture may be consequential for learning. The participants in this study include two teachers who are implementing a new environmental science program, Global Learning through Observation to Benefit the Environment (GLOBE), and interacting with 54 children in an urban middle school. Both qualitative and quantitative data are analyzed and presented. To gain a better understanding of the inquiry teaching within classroom communities, we compare and contrast the discourse and interactions of the two teachers during three parallel environmental science lessons. The focus of our analysis includes (1) how the community identifies the object or goal of its activity; and (2) how the rights, rules, and roles for members are established and inhabited in interaction. Quantitative analyses of student pre‐ and posttests suggest greater learning for students in one classroom over the other, providing support for the influence of the classroom community and interactional choices of the teacher on student learning. Implications of the findings from this study are discussed in the context of curricular design, professional development, and educational reform. ? 2004 Wiley Periodicals, Inc. J Res Sci Teach 41: 905‐935, 2004.     

Teaching and Learning Science Through Song: Exploring the experiences of students and teachers

This qualitative, multi-case study explored the use of science-content music for teaching and learning in six middle school science classrooms. The researcher sought to understand how teachers made use of content-rich songs for teaching science, how they impacted student engagement and learning, and what the experiences of these teachers and students suggested about using songs for middle school classroom science instruction. Data gathered included three teacher interviews, one classroom observation and a student focus-group discussion from each of six cases. The data from each unit of analysis were examined independently and then synthesized in a multi-case analysis, resulting in a number of merged findings, or assertions, about the experience. The results of this study indicated that teachers used content-rich music to enhance student understanding of concepts in science by developing content-based vocabulary, providing students with alternative examples and explanations of concepts, and as a sense-making experience to help build conceptual understanding. The use of science-content songs engaged students by providing both situational and personal interest, and provided a mnemonic device for remembering key concepts in science. The use of songs has relevance from a constructivist approach as they were used to help students build meaning; from a socio-cultural perspective in terms of student engagement; and from a cognitive viewpoint in that in these cases they helped students make connections in learning. The results of this research have implications for science teachers and the science education community in developing new instructional strategies for the middle school science classroom.     

Videotaping: A tool for enhancing the teacher’s understanding of cognitive science and teacher self-development

Follow-up research is required to investigate the effects of our beginning teacher preparation programs for secondary science teachers on classroom performance, student achievement, and higher order mental functioning of classroom teachers. Nevertheless, preliminary indications from working with students during the last several years show many encouraging outcomes among beginning teachers, including: increased knowledge of cognitive science, especially applications in instruction and learning; development of more analytical, self-directed classroom behavior; and enhanced capability of utilizing and powerful tool of video-taping for professional self-improvment.     

Students' Understanding of the Objectives and Procedures of Experimentation in the Science Classroom

As part of a project to identify opportunities for reasoning that occur in good but typical science classrooms, this study focuses on how sixth graders reason about the goals and strategies of experimentation and laboratory activities in school. Collaborating with teachers, we explore whether reasoning can be deepened by developing instruction that capitalizes more effectively on the classroom opportunities that arise for fostering complex thinking and understanding. The design of the study includes (a) a baseline interview probing students' understanding of experimentation in the context of a standard, 40-min "hands-on" activity that is part of the standard sixth-grade curriculum; (b) a 3-week teaching study, in which five teachers, informed by the cognitive science research concerning the development of scientific reasoning, designed and taught a special experimentation unit in their classrooms; and (c) a series of follow-up interviews, in which students' understanding of experimentation was reexamined. The findings from the two learning contexts-one more supportive of student reasoning than the other-inform us about the kinds of reasoning that are developing in middle-school students and the forms of instruction best suited to exercising those developing skills.     

鼓励创新:新课程课堂教学改革的核心

鼓励创新是我国新课程课堂教学改革的核心。对于教师而言,课堂教学是一个不断通过创新而实现自我生命价值的过程,创新精神和创新能力是教师能否形成独特教学风格的关键因素;对于学生而言,课堂教学是一个在教师引导下进行自主发现、探究和不断创新的过程。因此,课堂教学应积极引导学生实现学习方式的转变,从被动接受走向自主发现和探究,鼓励学生发表不同的观点和见解,允许进行不同的“解读”,倡导“创读”。在此基础上,实现培养学生的创新精神和创新能力的目标。     

The Use of Student Consulting Projects as an Active Learning Pedagogy: A Case Study in a Production/Operations Management Course

Active learning has attracted considerable attention in higher education in response to concerns about how and what students are learning. There are many different forms of active learning, yet most of them are classroom based. We propose an alternative to active learning in the classroom through active learning outside of the classroom in the form of student consulting projects. While the literature on student consulting has largely focused on projects to assist small business owners, this research demonstrates the potential for using student-consulting projects in the Production/Operations Management course. We use a case study to describe the use of a student-consulting project as an alternative to the other types of active learning described in the Operations Management education literature.     

Project-Based Learning Communities in Developmental Education: A Case Study of Lessons Learned

This case study tracks the application of project-based learning (PBL) during four separate college terms at Portland Community College in Portland, Oregon. Each term follows a different learning community of first-term college students enrolled in a program of developmental education (DE), reading, writing, math, and college survival and success (CSS) courses. The study documents the journey from a pilot PBL model to the improved model used today, focuses on each term's PBL goal of increasing student success, and outlines how the PBL succeeded or failed based on student demonstration of their learning community's intended core outcomes. Whereas the initial two terms’ projects were unsuccessful, the framing of a new question and the addition of service learning in the next two terms’ projects made a significant improvement in student self-motivation and helped students achieve intended core outcomes by their own agency. Such active learning and self reliance increased students’ confidence as it challenged them to use their new course skills to create a project they were proud to present to a wide audience. This study then explores the challenges and benefits of integrating the two curricular frameworks, learning communities and PBL, within interdisciplinary courses that include service learning. Considering the already established literature on the success of learning communities and the continually growing literature on the implementation of PBL, this study ultimately demonstrates how to arrive at a project that invigorates a learning community of students, whether the learning community is in one course or spread throughout several interdisciplinary courses.     

Beginning literacy: links among teacher knowledge, teacher practice, and student learning

Although the importance of phonological awareness has been discussed widely in the research literature, the concept is not well understood by many classroom teachers. In the study described here, we worked with groups of kindergarten and first-grade teachers (the experimental group) during a 2-week summer institute and throughout the school year. We shared with them research about learning disabilities and effective instruction, stressing the importance of explicit instruction in phonological and orthographic awareness. We followed the experimental group and a control group into their classrooms for a year, assessing teachers' classroom practices and their students' (n = 779) learning. The study yielded three major findings: We can deepen teachers' own knowledge of the role of phonological and orthographic information in literacy instruction; teachers can use that knowledge to change classroom practice; and changes in teacher knowledge and classroom practice can improve student learning.