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1.
The current study focuses on results from a national survey of special education mathematics teachers in secondary psychiatric schools. A total of 115 (33.04%) respondents completed a mail or online survey concerning school-level mathematics curriculum and assessment policies and practices. No statistically significant differences existed between respondent and nonrespondent schools on demographic variables. Results indicate a disconnect between the mathematics curriculum and state assessments. Approximately half teachers responded that their school relies on standard district or state curriculum, and the curriculum and instructional materials are aligned with assessments to a great extent. Only about 40% and 30%, respectively, reported that schools are supervised and teachers are provided professional development to facilitate the alignment of curriculum with state assessments to a great extent. Additional results and implications are discussed. 相似文献
2.
Katherine N. Peeples Allison M. Kroesch Victoria J. VanUitert 《Learning disabilities research & practice》2023,38(2):129-143
Middle school students with learning disabilities often struggle with reading and literacy skills, including vocabulary, and require support in content-area classes such as mathematics where weak vocabulary knowledge can negatively affect learning, achievement, and deep understanding. However, in general, middle school mathematics teachers do not receive training in literacy instruction, much less in explicit vocabulary instruction. Additionally, relatively few studies have examined content-area vocabulary instruction at the middle or secondary school level. This study addressed these gaps in the research by examining the effect of a performance feedback and coaching intervention on middle school mathematics teachers’ use of explicit mathematics vocabulary instruction. Results of the study indicate that performance feedback and coaching had moderately positive effects on teachers’ use and quality of explicit mathematics vocabulary instruction. 相似文献
3.
Ashley Lewis Presser Margaret Clements Herbert Ginsburg Barbrina Ertle 《Early education and development》2015,26(3):399-426
Research Findings: Big Math for Little Kids (BMLK) is a mathematics curriculum developed for use with 4- and 5-year-old children. To investigate the BMLK curriculum's effect on children's mathematics knowledge, this cluster-randomized controlled trial randomly assigned child care centers to provide mathematics instruction to children, using either the BMLK mathematics curriculum or the centers’ business-as-usual curriculum, over a 2-year period when children were in prekindergarten and kindergarten. Participants in the study were 762 children and their teachers at 16 publicly subsidized child care centers. The study assessed children's mathematics knowledge using the Early Childhood Longitudinal Study, Birth Cohort (ECLS-B), Direct Mathematics Assessment, a measure of young children's mathematics knowledge that is not aligned with the curriculum. The ECLS-B scores of children in the BMLK group increased significantly more than did those of children in the comparison group. The study also included exploratory analyses to examine whether children in the BMLK group demonstrated evidence of improved mathematical language. Practice or Policy: These results indicate that the BMLK curriculum, which is designed to help teachers use play-based, developmentally appropriate mathematics instruction, has a positive impact on young children's mathematics knowledge as measured by a general mathematics assessment that is not aligned with the curriculum. 相似文献
4.
Students who demonstrate persistent mathematics difficulties and whose performance is severely below grade level require intensive intervention. Intensive intervention is an individualized approach to instruction that is more demanding and concentrated than Tier 2 intervention efforts. We present the elements of intensive intervention that teachers should consider when planning for, implementing, and monitoring intensive intervention in mathematics. Each of these elements is based on evidence from validated interventions. We also highlight strategies for intensifying instruction. We provide two examples of intensive intervention, one of which launches from a Tier 2 intervention platform and the other which is completely generated by a teacher. We conclude with considerations for intensive intervention in mathematics. 相似文献
5.
Gabriel J. Stylianides 《International Journal of Science and Mathematics Education》2008,6(1):191-215
Despite widespread agreement that proof should be central to all students’ mathematical experiences, many students demonstrate poor ability with it. The curriculum
can play an important role in enhancing students’ proof capabilities: teachers’ decisions about what to implement in their
classrooms, and how to implement it, are mediated through the curriculum materials they use. Yet, little research has focused
on how proof is promoted in mathematics curriculum materials and, more specifically, on the guidance that curriculum materials
offer to teachers to enact the proof opportunities designed in the curriculum. This paper presents an analytic approach that
can be used in the examination of the guidance curriculum materials offer to teachers to implement in their classrooms the
proof opportunities designed in the curriculum. Also, it presents findings obtained from application of this approach to an
analysis of a popular US reform-based mathematics curriculum. Implications for curriculum design and research are discussed. 相似文献
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7.
Amy Roth McDuffie Jeffrey Choppin Corey Drake Jon D. Davis Jennifer Brown 《Journal of Mathematics Teacher Education》2018,21(6):545-577
Eight middle school mathematics teachers’ perceptions and uses of curriculum materials and the Common Core State Standards for Mathematics (CCSSM) were investigated. Adapting a noticing framework and models of dialogic instruction and direct instruction, teachers’ noticing practices with curriculum materials and the CCSSM when planning, enacting, and reflecting on lessons were examined. Teachers who were committed to implementing the CCSSM and who were using one of two substantively different curriculum programs were purposefully selected. Data sources included multiple forms of interviews and classroom observations. The teaching evidenced three distinct noticing patterns. These patterns indicated that teachers’ curriculum materials were associated with how teachers perceived and enacted the CCSSM. Teaching with a curriculum program that was designed as a thinking device prioritized the Standards for Mathematical Practice of CCSSM evidenced noticing that was consistent with dialogic instruction. Teaching with a curriculum program that was designed as a delivery mechanism prioritized the Content Standards of CCSSM and evidenced noticing consistent with direct instruction. Findings indicated that the designated curriculum and contributed to differing interpretations of CCSSM and served as a lens for noticing. However, a dialogic curriculum program was not sufficient to support dialogic approaches in practice. One pattern showed teachers planning dialogic lessons, but the lesson enactments were not consistent with teachers’ plans, with evidence that the teachers were not aware that their practices differed from dialogic approaches. Implications for research and practice are discussed. 相似文献
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Research Findings: The present study involved using a questionnaire to investigate the mathematics teaching practices of 74 U.S. and 67 Chinese early childhood teachers. Quantitative and qualitative analyses yielded several key findings. First, U.S. teachers are less intentional in mathematics teaching than their Chinese counterparts. Specifically, 27% of the U.S. participants did not set any goals for mathematics, and 20% did not use a curriculum or any resources. In contrast, 3% of the Chinese participants fell into each of these categories. Second, early childhood mathematics content in the United States appears to be broader and less differentiated by age group than in China. Lastly, emerging curriculum (mathematics learning that emerges from children's play, activities, and routines) is the prevailing approach for 3- and 4-year-olds in the United States. In comparison, mathematics-specific teaching is the primary, but not sole, form of instruction in China. Practice or Policy: These findings have important implications for implementing the Common Core mathematics standards in the early years. 相似文献
10.
This paper examines the contribution of mathematical knowledge for teaching (MKT) and curriculum materials to the implementation of lessons on integer subtraction. In particular, it investigates the instruction of three teachers with differing MKT levels using two editions of the same set of curriculum materials that provided different levels of support. This variation in MKT level and curriculum support facilitated exploring the distinct and joint contribution of MKT and the curriculum materials to instructional quality. The analyses suggest that MKT relates positively to teachers' use of representations, provision of explanations, precision in language and notation, and ability to capitalize on student contributions and move the mathematics along in a goal-directed manner. Curriculum materials set the stage for attending to the meaning of integer subtraction and appeared to support teachers' use of representations, provision of explanations, and precision in language and notation. More critically, the findings suggest that less educative curriculum materials, coupled with low levels of MKT, can lead to problematic instruction. In contrast, educative materials can help low-MKT teachers provide adequate instruction, while higher MKT levels seem to enable teachers to compensate for curriculum limitations. 相似文献
11.
Tonia J. Land Tonya G. Bartell Corey Drake Mary Q. Foote Amy Roth McDuffie Erin E. Turner 《课程研究杂志》2019,51(4):471-493
Elementary mathematics curriculum materials can serve as a lever for instructional change. In this paper, we promote a particular kind of instructional change: supporting teachers in learning to integrate children’s multiple mathematical knowledge bases (MMKB), including children’s mathematical thinking and children’s home and community-based mathematical funds of knowledge, in instruction. A powerful means of supporting pre-service teachers in integrating children’s MMKB in instruction may be to scaffold teachers’ noticing of potential spaces in elementary mathematics curriculum materials for connecting to children’s MMKB and then developing practices for leveraging these spaces during instruction. We focus on existing and potential spaces in written curriculum materials, or curriculum spaces, so as to better support teachers in enacting curriculum that opens spaces for connecting to children’s MMKB. 相似文献
12.
新课改要求教师摒弃以教材为本的旧观念,树立以学生发展为本的新观念。整合教材资源,培养学生的数学核心素养,成了教师首先要解决的问题。本文从数学教材与信息技术整合、数学教材与游戏整合、从生活中挖掘数学教材资源三个方面,探讨基于核心素养的小学数学教材资源整合问题。 相似文献
13.
Abstract Mathematics continues to be one of the most difficult components of the school curriculum for students with learning disabilities (LD). The National Council for Teachers of Mathematics, in conjunction with current educational legislation, challenges teachers to maintain high standards for student performance in mathematics. Fortunately, over the past two decades, researchers have identified and validated a number of instructional practices that help students with LD understand and use mathematics in meaningful ways. The purpose of this article is to discuss instructional guidelines and evidence‐based practices for building conceptual, procedural, and declarative knowledge within a comprehensive mathematics curriculum. The importance of balancing these three knowledge areas across mathematics content areas is noted. 相似文献
14.
Teacher education efforts must prepare future teachers to implement evidence-based practices that are effective for all students. A strand of practices necessary for reading competence is vocabulary instruction; however, teachers spend less time teaching vocabulary as opposed to other literacy skills. In this experimental study, researchers investigated a multimedia-based intervention, which pairs video with a Content Acquisition Podcast (i.e., video plus CAP) to teach preservice teachers (N = 49) to implement vocabulary practices with struggling students. Those who watched the video plus CAP used significantly more teaching behaviors associated with an evidence-based vocabulary practice during instruction than the comparison group. 相似文献
15.
Our study investigated the knowledge 13elementary teachers gained implementing astudent-centered curriculum in the context ofdistrict-wide reform. Participants comprisedall the teachers in grades three, four and fiveat a single elementary school. We believed thatinvestigating teachers' responses to fictionalpedagogical scenarios involving nonstandardalgorithms would yield insights into criticalcomponents of their knowledge base. We lookedin particular at teachers' knowledge of children's mathematics. We found that teacherswere in the midst of creating a knowledge basefocused on children's mathematics and groundedin knowledge about alternative conceptualtrajectories through the elementary curriculum.Teachers' knowledge of nonstandard strategiessupported by the curriculum materials wasstronger and more coherent than their knowledgeof students' novel nonstandard strategies.Strong mathematical knowledge was notnecessarily associated with strong knowledge ofchildren's mathematics. Teachers' thinkingvaried by a topic's treatment in the writtencurriculum materials used, suggestingimplementation of the curriculum as a source oflearning. 相似文献
16.
AbstractThis study examines four of the most commonly-used core mathematics curricula in the USA for evidence of support for research-based instructional strategies for mathematics vocabulary in first and second grade. Content analyses of the teachers’ editions of two units for each grade level were analyzed per curriculum (n?=?16). Statistically significant differences among curricula were found for number of target words (range 6–51 per unit), level of difficulty of terms (basic to technical), and number of support strategies per word. Multiple means of representation varied in terms of verbal and non-verbal strategies for target terms. These differences indicate children are experiencing substantially different mathematics vocabulary learning opportunities, which may impact later mathematics achievement. Implications for practice, curriculum development, and future research are addressed. 相似文献
17.
Erin R. Ottmar Timothy R. Konold Robert Q. Berry David W. Grissmer Claire E. Cameron 《Learning Environments Research》2014,17(1):127-138
Psychometric properties of 24 items from the fifth grade Early Childhood Longitudinal Study-Kindergarten Cohort Mathematics Teacher Questionnaire were investigated in a sample of 5,181 participants. These items asked teachers to report how often they had their classroom students engage in different mathematics content, skills and instructional practices. Exploratory factor analyses were employed to evaluate the underlying factor structure of the selected items. Results suggest that these items effectively measure three distinct latent constructs that are specific to mathematics instruction: Instructional Practices for Teaching Mathematics, Developing Number Sense, and Beyond Number Sense. These results support the use of this instrument as a guide for research and policy, or to inform teacher curriculum decisions. 相似文献
18.
Research Findings: Shared reading is reported to be the single best instructional practice for emergent literacy skills. Vocabulary instruction practices implemented during shared reading by both Head Start (HS) teachers and teachers from more affluent private school settings were compared to determine whether there were differences between the 2 groups of teachers in their implementation of research-based practices. HS teachers implemented vocabulary instruction practices during shared reading more often, and chose different words to instruct, than private school teachers. Whereas 78% of HS teachers provided some vocabulary instruction during shared reading, only 59% of private school teachers did so. Among those teachers who provided vocabulary instruction during shared reading, HS teachers used significantly more contextualization strategies for word instruction than private school teachers. These findings suggest that preschool teachers who work with children from high-needs backgrounds use vocabulary instruction during shared reading as a way to bolster children’s vocabularies more frequently than teachers working in private preschools that serve children from more privileged backgrounds. Extratextual language was also compared, and private school teachers had a higher mean length of utterance and type–token ratio than the HS teachers. Practice or Policy: Professional development is recommended for preschool teachers to increase the implementation of best practices for vocabulary instruction during shared reading. 相似文献
19.
Andrea Raiker 《Cambridge Journal of Education》2002,32(1):45-60
Teachers and learners use spoken language in the three part mathematics lesson advocated by the National Numeracy Strategy (NNS). This document recognises the importance of language by emphasising 'the correct use of mathematical vocabulary' in the raising of standards. Research into the use of vocabulary in science suggests that the use of scientific words does not necessarily demonstrate conceptual understanding. Pupils and teachers appear to ascribe different meanings to scientific words because of their relative positions on the novice/expert continuum. To explore whether mathematical words could cause similar problems, data collected from six groups of teachers and learners was subjected to discourse analysis to provide evidence of how spoken language was used and how meaning and understanding were achieved. The implications of the findings on the use of language by both teachers and learners in the NNS mathematics lesson, including vital areas for reflection by teachers, are fully considered. 相似文献
20.
Over the past three decades, research and policy in many geographic regions has promoted a shift from direct, lecture-oriented mathematics instruction to inquiry-based, dialogic forms of instruction. While theory and research support dialogic instructional approaches, some have noted that the complexities of dialogic teaching make it difficult for teachers to implement. One mechanism by which teachers can improve their decision-making practices in dialogic classrooms is learning to notice (i.e. becoming aware of learners’ processes). While research has contributed frameworks for understanding how teachers notice individual learners’ mathematical thinking, there is little conceptualization regarding how teachers notice group processes in mathematics classrooms, which is integral to dialogic instruction. We offer a noticing framework termed professional noticing of coordinated mathematical thinking that describes how teachers notice group activity in mathematics classrooms. Professional noticing of coordinated mathematical thinking is conceptualized as a bi-dimensional process: noticing groups’ mathematical activity and noticing groups’ coordinated activity. Teachers must become aware of how groups approach the mathematical and collaborative nature of a task, since both of these aspects inform whether learners develop opportunities to learn in groups. The framework describes noticing practices integral to dialogic instruction and promotes inquiry for future research related to teaching moves in dialogic classrooms. 相似文献