Mathematical Approaches and Strategies

Author(s):  
Lorelei R. Coddington

Recent shifts in standards of instruction in the United States call for a balance between conceptual and procedural types of teaching and learning. With this shift, an emphasis has also been placed on ensuring teachers have the knowledge and tools to support students to improve student performance. Since many struggle in learning mathematics, teachers need practical ways to support students while also building their conceptual knowledge. Research has highlighted many promising approaches and strategies that can differentiate instruction and provide needed support. This chapter highlights various examples found in the research and explains how the approaches and strategies can be used to maximize student learning in the inclusive classroom.

Libri ◽  
2014 ◽  
Vol 64 (2) ◽  
Author(s):  
Mega M. Subramaniam ◽  
Ann Ryu Edwards

AbstractWith the unveiling in the United States of the Common Core State Standards for Mathematics that value inquiry, cross-curricular connections, and the use of technology in instruction, school librarians may be best positioned to collaborate with mathematics teachers to instill these practices into mathematics teaching and learning. However, the mathematics curriculum is often perceived as challenging or even impossible for librarians to connect with. Consequently, such collaboration is often not pursued by either party. This paper examines the factors that shape or hinder collaboration between school librarians and mathematics teachers. Semi-structured interviews were conducted with mathematics teachers, school librarians, and school leaders in four middle schools in a highly resourced school district in the mid Atlantic region of the United States. We find several factors that influence the nature and opportunities for collaboration, including: perception; comfort with technology; institutional structures; testing pressure; and knowledge about mathematics teaching and learning. Our analysis reveals pivotal transformations that need to take place in order to strengthen the collaborative relationship between these two domains: (1) changes in the perceptions mathematics teachers and school librarians have of each other, and of various aspects of technology integration in mathematics teaching and learning and collaborative relationships; (2) enhanced structural support at the school district level; and (3) enhanced structural support at the school level to support collaboration. By examining the connections and contexts of these emerging themes from our study, we reveal the impact that school librarians can have in mathematics learning in middle schools.


2016 ◽  
Vol 1 (16) ◽  
pp. 15-27 ◽  
Author(s):  
Henriette W. Langdon ◽  
Terry Irvine Saenz

The number of English Language Learners (ELL) is increasing in all regions of the United States. Although the majority (71%) speak Spanish as their first language, the other 29% may speak one of as many as 100 or more different languages. In spite of an increasing number of speech-language pathologists (SLPs) who can provide bilingual services, the likelihood of a match between a given student's primary language and an SLP's is rather minimal. The second best option is to work with a trained language interpreter in the student's language. However, very frequently, this interpreter may be bilingual but not trained to do the job.


Author(s):  
Jane Kotzmann

This chapter explores the real-life operation of six higher education systems that align with the theoretical models identified in Chapter 2. Three states follow a largely market-based approach: Chile, England, and the United States. Three states follow a largely human rights-based approach: Finland, Iceland, and Sweden. The chapter describes each system in terms of how it aligns with the particular model before evaluating the system in relation to the signs and measures of successful higher education systems identified in Chapter 3. This chapter provides conclusions as to the relative likelihood of each approach facilitating the achievement of higher education teaching and learning purposes.


Author(s):  
Frank Abrahams

This chapter aligns the tenets of critical pedagogy with current practices of assessment in the United States. The author posits that critical pedagogy is an appropriate lens through which to view assessment, and argues against the hegemonic practices that support marginalization of students. Grounded in critical theory and based on Marxist ideals, the content supports the notion of teaching and learning as a partnership where the desire to empower and transform the learner, and open possibilities for the learner to view the world and themselves in that world, are primary goals. Political mandates to evaluate teacher performance and student learning are presented and discussed. In addition to the formative and summative assessments that teachers routinely do to students, the author suggests integrative assessment, where students with the teacher reflect together on the learning experience and its outcomes. The chapter includes specific examples from the author’s own teaching that operationalize the ideas presented.


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Nicholas Petty ◽  
Dakota King-White ◽  
Tachelle Banks

Abstract Throughout the United States there are millions of Black and Brown students starting the process of attending college. However, research indicates that students from traditionally marginalized groups are less likely than their counterparts to complete the process and graduate college (Shapiro et al., 2017). While retention rates for students from traditionally marginalized backgrounds continue to decline, universities are beginning to pay attention to the needs of this population in search of ways of better supporting them. The examination of these factors may also inform programmatic adjustments, leadership philosophies, and future practices to help retain students and lead to eventual completion of a baccalaureate degree. In this article, the authors review the literature to explore factors that can affect Black and Brown students’ completion rates in higher education. By reviewing the literature and the factors impacting Black and Brown students, the authors share with readers initiatives at one university that are being used to support students from a strengths-based approach.


2012 ◽  
Vol 92 (3) ◽  
pp. 416-428 ◽  
Author(s):  
Kathryn E. Roach ◽  
Jody S. Frost ◽  
Nora J. Francis ◽  
Scott Giles ◽  
Jon T. Nordrum ◽  
...  

Background Based on changes in core physical therapy documents and problems with the earlier version, the Physical Therapist Clinical Performance Instrument (PT CPI): Version 1997 was revised to create the PT CPI: Version 2006. Objective The purpose of this study was to validate the PT CPI: Version 2006 for use with physical therapist students as a measure of clinical performance. Design This was a combined cross-sectional and prospective study. Methods A convenience sample of physical therapist students from the United States and Canada participated in this study. The PT CPI: Version 2006 was used to collect CPI item–level data from the clinical instructor about student performance at midterm and final evaluation periods in the clinical internship. Midterm evaluation data were collected from 196 students, and final evaluation data were collected from 171 students. The students who participated in the study had a mean age of 24.8 years (SD=2.3, range=21–41). Sixty-seven percent of the participants were from programs in the United States, and 33% were from Canada. Results The PT CPI: Version 2006 demonstrated good internal consistency, and factor analysis with varimax rotation produced a 3-factor solution explaining 94% of the variance. Construct validity was supported by differences in CPI item scores between students on early compared with final clinical experiences. Validity also was supported by significant score changes from midterm to final evaluations for students on both early and final internships and by fair to moderate correlations between prior clinical experience and remaining course work. Limitations This study did not examine rater reliability. Conclusion The results support the PT CPI: Version 2006 as a valid measure of physical therapist student clinical performance.


2020 ◽  
Vol 8 (2) ◽  
pp. 53-72
Author(s):  
Claudia A. Cornejo Happel ◽  
Xiaomei Song

To determine factors that influence faculty engagement and success in faculty learning communities focused on collaborative Scholarship of Teaching and Learning (SoTL), our project gathered information on (1) faculty motivation to engage with SoTL; (2) structures that support collaboration; (3) the perceived impact of SoTL on teaching, scholarship, and faculty engagement in academic communities on campus and beyond; and (4) the role of the teaching center in supporting collaborative faculty learning communities focused on SoTL. In this explanatory, sequential design mixed-methods study, participants were asked to complete a survey on their experience as participants in faculty learning communities at a large comprehensive public university in the southeastern United States; researchers then conducted one-on-one interviews with select participants to gain an in-depth understanding of trends and questions emerging from the survey data. Results indicate that personal, institutional, professional, and team factors contribute to participants’ perception of the success and effectiveness of collaborative research teams. Findings from the study offer guidance for setting up effective collaborative structures for SoTL projects and nurturing inter-disciplinary research among faculty members, thus providing insights that can inform the design and facilitation of similar programs in the United States and internationally.


2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Kristen Betts ◽  
Brian Delaney ◽  
Tamara Galoyan ◽  
William Lynch

In March 2020, the coronavirus disease 2019 (COVID-19) pandemic disrupted education worldwide. In the United States, the pandemic forced colleges and universities across the nation to adopt quickly emergency remote teaching and learning. The ability to pivot instruction seamlessly and effectively across learning formats (e.g., face-to-face, hybrid, online) while supporting student engagement, learning, and completion in an authentic and high-quality manner challenged higher education leaders. This historical review of the literature examines distance and online education from the 1700s to 2021 to identify how external and internal pressures and opportunities have impacted and influenced the evolution of educational formats pre-COVID-19, and how they will continue to evolve post pandemic. This historical review also explores how instructional design and pedagogy have been and continue to be influenced by technological advancements, emerging research from the Learning Sciences and Mind (psychology), Brain (neuroscience), and Education (pedagogy) science.


Author(s):  
Margaret L. Niess

Powerful and modern digital technologies have significantly impacted mathematics teaching – both what is to be learned and how it should be learned. Technology, pedagogy, and content knowledge (TPACK) is the knowledge that teachers rely on for teaching content with appropriate digital technologies. What preparation do mathematics teachers need in order to develop this knowledge needed for integrating appropriate digital technologies as teaching and learning tools? The challenges of understanding TPACK and identifying appropriate educational programs for pre-service mathematics teachers call for thoughtful attention toward the development of the knowledge, skills, and dispositions that support the dynamic nature embedded within the TPACK construct. The design of appropriate pre-service teacher learning trajectories for developing a rigorous TPACK emphasizes that both how and where they learn to teach mathematics are fundamental to what is learned about teaching and learning mathematics. Redesign ideas and models support re-thinking and re-designing pre-service mathematics teacher preparation programs.


Sign in / Sign up

Export Citation Format

Share Document