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While deficits for students with learning disabilities (LD) are prevalent in almost all aspects of mathematics, difficulty in the application and understanding of problem-solving tasks are much more challenging to remediate than computational and procedural skills. Given the complexities involved in authentic problem-solving activities emphasized in current mathematics standards and the inherent challenges presented to students with LD, the importance of using strategies and techniques guided by evidence-based practices is paramount. Yet, ineffective instructional strategies for problem solving are still widespread in both mathematics curricula and available teacher resources. In this chapter, we provide a description of a commonly used ineffective problem-solving strategy (i.e., the keyword strategy), an overview of the keyword research, and an explanation for its ineffectiveness. We conclude with a description of three evidenced-based problem-solving approaches and practices that significantly improve the mathematical performance of students with LD.

The purpose of this paper is to establish the effects of computer‐assisted instruction (CAI) on the attitude of students studying mathematics.

CAI in mathematics, as an alternative to traditional instruction (TI), is investigated using a sample of students in Iran. The sample consists of second grade female students of maths/science in two high schools of Hashtgerd. The study is carried out over four weeks in May 2008. The effects of the independent variable (CAI) are studied in one high school while in a second high school in the region, a control group is used to measure the effects of TI.

The findings reveal that CAI increases the learning level of students and improves their attitudes toward mathematics compared with TI.

The scope of the study is limited to a sample of students from two high schools in Iran. Thus, the results are indicative rather than conclusive. More work needs to be carried out involving a larger sample not confined to the Iranian setting to produce more conclusive findings.

New technologies and software featuring CAI should be implemented and used in the teaching process, especially for those courses which contain abstract concepts like mathematics. For example, simulated software could help teachers utilize simulated objects, concepts, and problem solving paths in a virtual environment.

The study adds to the literature on the utility of CAI and is original in that it is one of the few carried out in an Iranian setting.

This paper examines how intentional mathematics coaching practices can develop teacher professional noticing of “ambitious teaching practices” (NCTM, 2020) through connected, collaborative coaching cycles.

Narrative analysis is used to examine observations of a mathematics coach and novice teacher to better understand the role of the coach in helping teachers attend to ambitious mathematics teaching (AMT) practices.

The initial findings of this study suggest that intentional use of focused goals, iterative coaching cycles and a gradual release model of coaching can support shifts in noticing of AMT from being led by the coach to being facilitated by the teacher.

This study offers new insights into the functions of mathematics coaching that can foster shifts in teacher noticing and practice toward AMT. It contributes to the literature on what mathematics coaching looks and sounds like in the context of conversations with teachers, as well as the potential influence that structured, intentional, ongoing coaching supports can have on teacher noticing.

This study aims to develop a self-reflection scale useful for teachers to improve their skills and to clarify the Japanese teachers’ characteristics during mathematics lesson observation (MLO). In MLO, it is important to understand the lesson plan in advance to clarify observation points, and we aim to develop a scale including these points.

Based on the pre-questionnaire survey, nine perspectives and two situations for MLO were extracted. From these, a questionnaire for MLO was created. The results obtained from 161 teachers were examined, and exploratory factor analysis was conducted. ANOVA was conducted to analyze the effect of differences across the duration of teaching experience on the identified factors.

We developed a self-reflection scale consisting of 14 items with three factors: [B1] focus on instructional techniques and evaluation, [B2] focus on proactive problem-solving lesson development and [B3] focus on the mathematical background of the learning content. While duration of teaching experience showed no effect, three factors of the self-reflection scale for MLO showed a significant effect. Further multiple comparisons revealed the degree of focus was [B2]>[B1]>[B3].

Teachers who use this developed scale may grasp the strengths and weaknesses of their own MLO, which leads to self-improvement. The perspectives emphasized in lesson observation are the same when creating lesson plans and implementing lessons, leading to lesson improvement. Furthermore, based on the characteristics of teachers revealed, new training programs regarding MLO can lead to higher-quality lesson studies.

Integrative reviews are an important method for understanding research in the field of special education. Reviews can help practitioners decide what methods to use in the classroom, researchers clarify directions for new research, and policymakers guide education improvement programs. We discuss the steps for conducting an integrative review, illustrating the process with a case study of an integrative review of large-scale testing accommodations for students with disabilities.

The purpose of this paper is to examine how lesson study can lead to teacher learning and improvement of instruction by developing teachers’ mathematical-task knowledge and by supporting teachers’ selection, modification, and implementation of mathematical tasks. Mathematical-task knowledge includes knowledge needed to use tasks that require a high level of thinking and reasoning.

A qualitative case study design was used to explore the learning and instruction of three teachers as they went through the process of lesson study, developed knowledge around mathematics tasks, and made changes to their instruction. Methods included direct observation of lessons, semi-structured interviews, and participant observation.

This lesson study project supported teachers in developing mathematical-task knowledge and in making change to instructional practice. The teachers discussed in this paper added to their understanding of mathematical tasks and changed how they implemented tasks after lesson study. The teachers began to challenge students to go beyond memorizing or executing procedures to deepen the students’ understanding of mathematical concepts. Teachers developed key insights and understandings of mathematical tasks, triggering shifts in their thinking, and changes to instruction. Collaboration and reflection altered the selection, modification, and implementation of mathematical tasks.

This study reveals the connections between features of lesson study and the pathways that lead to learning and improvements to instruction. Limitations included the demands of the school district’s pacing guide and curriculum, and a limited number of interviews and observations were conducted after lesson study.

There are many different ways lesson study has been implemented in the USA, yet the effectiveness of many lesson study projects is still unclear. This study reveals more about the lesson study process, what features are important, and how these features lead to development of knowledge and practice. This study examines how teachers within the same lesson study group added to their knowledge and practice and how different features of lesson study prompt them to make changes.

Mathematics can be a challenging content area for all students and especially for students with disabilities. Assistive technology can support the access, participation and achievement of students with disabilities in mathematics in general and in inclusive mathematics settings in particular. In this chapter, assistive technology to academic and functional mathematics will be discussed; particularly, manipulatives, calculators and other technology-mediated mathematics interventions (e.g., apps or computer programs) will be highlighted.

Problems with learning disabilities are life affecting (Murray, C., Goldstein, D. E., & Nourse, S. (2000). The postsecondary school attendance and completion rates of high school graduates with learning disabilities. Learning Disabilities Research and Practice, 15, 182–186; Westby, 2000; Rojewski, 1999a; Hall et al., 2002). The impact of poor mathematical skills on employment prospects is even bigger than the influence of poor reading skills (Dowker, 2005). After an introduction on the definition, prevalence and impact, gender and birth order, subtypes, comorbidity and assessment of cognition and metacognition in mathematical learning disabilities, we will focus on the features of mathematical learning disabilities in adolescence and adulthood and on the STI(mulation), CO(mpensation), R(emediation) and DI(spensation) (STICORDI) devices to help students with mathematical learning disabilities. With such devices “reasonable” adjustments are provided to ensure that disabled students are not placed at a substantial disadvantage compared to non-disabled students.

The purpose of this paper is to report findings from a systematic literature review that explore how recent research on instructional leadership has addressed the role of mathematics and science instruction.

Using Hallinger’s (2014) approach to conducting systematic reviews, the review included 109 peer-reviewed articles published since 2008 in leading mathematics and science education journals. An a priori coding scheme based upon key leadership behaviors articulated in Hitt and Tucker’s (2016) unified leadership framework informed the analysis presented.

Results indicate that leaders support content area instruction by facilitating high-quality instructional experiences through curricular and assessment leadership. Leadership frequently involves establishing organizational conditions that support teachers’ efforts to improve their own practice instead of direct leadership action on the part of instructional leaders. This support takes different forms and can include distributing leadership to teacher leaders with content area experience as well as using resources strategically to provide professional development or instructional coaching.

The review strengthens the connections between the instructional leadership, mathematics and science literatures, and identifies some of the leadership practices that these literatures deem important for instructional improvement. The review also reveals the potential for future research exploring the influence of a particular content area on supervisory practice and leadership discourse.

Students with mathematics-related learning difficulties (MLD) experience difficulties in many areas of mathematics achievement; without intervention, these difficulties will persist. In this chapter, I first review research examined cognitive processes deficits of MLD. Because difficulties in learning mathematics are presumably due to these cognitive deficits, findings of these studies can shed light on developing effective intervention programs. Second, using Response to Intervention (RTI) as a framework to distinguish the intensity level of intervention, I review findings from existing Tier 2 and Tier 3 intervention studies and synthesize the instructional approaches used in these studies as well as the factors researchers used to intensify the intervention. Finally, Data-Based Individualization (DBI), a systematic approach to intensify intervention, commonly used at the Tier 3 level, is review. Suggestions for future research directions for intensive mathematics intervention are also provided.