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The Social Construction of "Math Smartness"

The Social Construction of
Author: Katy A. Strzepek
Publisher:
Total Pages: 243
Release: 2018
Genre:
ISBN: 9780438854321

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Community colleges continue to search for the best way to place students in math courses: a difficult process due to concerns about developmental math as a potential barrier that may negatively affect, narrow, or prevent students’ access to college-level courses, as well as future career pathways (Bailey, Jaggars, & Jenkins, 2015; Cohen, Brawer, & Kisker, 2014). In this study, I set out to document and define the phenomenon of how community college staff, faculty, and administrators choose and implement new math placement models. Through an interpretivist definitional study based on observations, interviews, and document analysis at one community college, I construct a detailed, localized view of the discourses and ideologies faculty, staff, and administrators professed, encountered, and enacted as they responded to the challenge of choosing and implementing a new placement protocol. I employed the constant comparative method of analysis to organize data into key themes, which I analyzed using the theoretical constructs of conocimiento —critical political awareness (Gutiérrez, 2018)—and the social construction of “smartness” (Hatt, 2012, 2016), in order to shed light on understudied aspects of the math placement process. The findings of this research yield insights into the placement process at one community college and encourage faculty, staff, and administrators to engage in thoughtful political dialogue about the consequences of test-based math placement, to examine the implications of a rhetoric of fairness and hope, and to recognize the ways a fear of institutional failure may result in risk-management practices that increase gatekeeping in spite of best intentions to place students using multiple measures. I provide recommendations for community college practitioners who seek to challenge dominant paradigms about achievement and “ability-grouping” as they reconceptualize their math placement policies and suggest justice-based solutions such as improved PK–20 collaborations, increased opportunities and administrative support for thoughtful political dialogue about math placement across all levels of the institution, emancipatory pedagogy, and solidarity-based practices that uphold the ideals of the community college to promote both access and equity.


Cultural Constructions of Identity

Cultural Constructions of Identity
Author: Luis Urrieta Jr.
Publisher: Oxford University Press
Total Pages: 297
Release: 2018-03-09
Genre: Psychology
ISBN: 0190676108

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Education research has seen a phenomenal growth in studies that explore the multiple, fluid, and changing complexities of culture and identity work. The nuanced, contradictory, and process-oriented nature of identity and identification has meant that the studies in education are largely, and appropriately, qualitative and ethnographic. However, because qualitative studies are marked by their focus on the particular, it has been difficult to discern exactly what these studies contribute to identity theory collectively. In Cultural Constructions of Identity, a set of meta-ethnographic syntheses of qualitative studies addressing identity become the vehicle to speak across single studies to address cultural identity theory. Meta-Ethnography, first developed by Noblit and Hare in 1988, incorporates a translation theory of interpretation so that the unique aspects of studies are preserved to the degree possible while also revealing the analogies between these studies. While the studies in this book examine the various intersections of race and ethnicity with respect to gender, age, class, and sexuality, Cultural Constructions of Identity turns its primary focus on what these studies reveal about identity and identification theory itself.


Artificial Mathematical Intelligence

Artificial Mathematical Intelligence
Author: Danny A. J. Gómez Ramírez
Publisher: Springer Nature
Total Pages: 268
Release: 2020-10-23
Genre: Mathematics
ISBN: 3030502732

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This volume discusses the theoretical foundations of a new inter- and intra-disciplinary meta-research discipline, which can be succinctly called cognitive metamathematics, with the ultimate goal of achieving a global instance of concrete Artificial Mathematical Intelligence (AMI). In other words, AMI looks for the construction of an (ideal) global artificial agent being able to (co-)solve interactively formal problems with a conceptual mathematical description in a human-style way. It first gives formal guidelines from the philosophical, logical, meta-mathematical, cognitive, and computational points of view supporting the formal existence of such a global AMI framework, examining how much of current mathematics can be completely generated by an interactive computer program and how close we are to constructing a machine that would be able to simulate the way a modern working mathematician handles solvable mathematical conjectures from a conceptual point of view. The thesis that it is possible to meta-model the intellectual job of a working mathematician is heuristically supported by the computational theory of mind, which posits that the mind is in fact a computational system, and by the meta-fact that genuine mathematical proofs are, in principle, algorithmically verifiable, at least theoretically. The introduction to this volume provides then the grounding multifaceted principles of cognitive metamathematics, and, at the same time gives an overview of some of the most outstanding results in this direction, keeping in mind that the main focus is human-style proofs, and not simply formal verification. The first part of the book presents the new cognitive foundations of mathematics’ program dealing with the construction of formal refinements of seminal (meta-)mathematical notions and facts. The second develops positions and formalizations of a global taxonomy of classic and new cognitive abilities, and computational tools allowing for calculation of formal conceptual blends are described. In particular, a new cognitive characterization of the Church-Turing Thesis is presented. In the last part, classic and new results concerning the co-generation of a vast amount of old and new mathematical concepts and the key parts of several standard proofs in Hilbert-style deductive systems are shown as well, filling explicitly a well-known gap in the mechanization of mathematics concerning artificial conceptual generation.


A Critique of Emotional Intelligence

A Critique of Emotional Intelligence
Author: Kevin R. Murphy
Publisher: Psychology Press
Total Pages: 398
Release: 2014-02-25
Genre: Psychology
ISBN: 1317824326

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This book analyzes important criticisms of the current research on Emotional Intelligence (EI), a topic of growing interest in the behavioral and social sciences. It looks at emotional intelligence research and EI interventions from a scientific and measurement perspective and identifies ways of improving the often shaky foundations of our current conceptions of emotional intelligence. With a balanced viewpoint, A Critique of Emotional Intelligence includes contributions from leading critics of EI research and practice (e.g., Frank Landy, Mark Schmit, Chockalingam Viswesvaran), proponents of EI (e.g., Neal Ashkanasy, Catherine Daus), as well as a broad range of well-informed authors. Proponents claim that EI is more important in life than academic intelligence, while opponents claim that there is no such thing as emotional intelligence. Three key criticisms that have been leveled at emotional intelligence include: (1) EI is poorly defined and poorly measured; (2) EI is a new name for familiar constructs that have been studied for decades; and (3) claims about EI are overblown. While the book presents these criticisms, the final section proposes ways of improving EI research and practice with EI theories, tests, and applications.


Developing Writers of Argument

Developing Writers of Argument
Author: Michael W. Smith
Publisher: Corwin Press
Total Pages: 218
Release: 2017-12-22
Genre: Education
ISBN: 150639440X

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Better Arguments Make Better Students — and Better Citizens The ability to make effective arguments is not only necessary in students’ academic lives, it’s a transferable skill essential to students’ future success as critical thinkers and contributing members of society. But how do we engage students and ensure they understand argument writing’s fundamental components? This book shows the way, with ready-to-implement lessons that make argument writing topical and relevant. Students form arguments about subjects of interest, and then reflect on the arguments’ organization, giving them reusable structural models. Complete with guidance on applying the lessons’ techniques in a unit-wide context, Developing Writers of Argument offers a practical approach for instructing in this crucial aspect of students’ development.


Lev Vygotsky

Lev Vygotsky
Author: Peter Lloyd
Publisher: Taylor & Francis
Total Pages: 496
Release: 1999
Genre: Psychology
ISBN: 9780415111553

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Rethinking Intelligence

Rethinking Intelligence
Author: Joe L. Kincheloe
Publisher: Routledge
Total Pages: 288
Release: 2013-08-21
Genre: Education
ISBN: 1135962030

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First published in 1999. Routledge is an imprint of Taylor & Francis, an informa company.


Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy

Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy
Author: Manoj Sahni
Publisher: Springer Nature
Total Pages: 544
Release: 2021-02-28
Genre: Technology & Engineering
ISBN: 981159953X

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This book presents new knowledge and recent developments in all aspects of computational techniques, mathematical modeling, energy systems, applications of fuzzy sets and intelligent computing. The book is a collection of best selected research papers presented at the International Conference on “Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy,” organized by the Department of Mathematics, Pandit Deendayal Petroleum University, in association with Forum for Interdisciplinary Mathematics, Institution of Engineers (IEI) – Gujarat and Computer Society of India (CSI) – Ahmedabad. The book provides innovative works of researchers, academicians and students in the area of interdisciplinary mathematics, statistics, computational intelligence and renewable energy.


A Quiet Revolution

A Quiet Revolution
Author: Michael D. Steele
Publisher: IAP
Total Pages: 220
Release: 2018-03-01
Genre: Education
ISBN: 1641131837

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Over the past thirty years, Holt High School in central Michigan has engaged in a quiet revolution that has transformed mathematics teaching and learning in the district. From its roots as a rural high school housed in a single building in the 1980s, the high school mathematics staff has grown an innovative, meaningful high school mathematics curriculum that sees nearly every student in the district completing the equivalent of Precalculus. Tracking was dropped in favor of an evolving suite of supports designed to promote student success in unifying, rather than segregating, ways. Mathematics classrooms in Holt are discourse-rich environments where teachers and students explore meaningful uses for mathematics as they reason and problem solve together. This transformation took place and persists amidst changing professional partnerships, shifting district demographics, increasing accountability measures at the state and national level, and turnover in teaching staff and district leadership. In this book, we explore the case of Holt High School though an exploration of how the mathematics curriculum has shifted over the past thirty years, and the conditions and supports that have been put in place in the district to make this work fruitful and sustainable. The story includes successes, failures, celebrations and challenges as we chronicle Holt’s high school mathematics evolution. Guiding questions, protocols, and reflective activities are provided for teachers and district leaders to begin the challenging conversations in their own district that lead to meaningful change.


Personalizing Learning

Personalizing Learning
Author: John West-Burnham
Publisher: A&C Black
Total Pages: 186
Release: 2005-07-01
Genre: Education
ISBN: 1855391147

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Most schools have improved significantly over the past ten years. The quality of teaching is better than it has ever been and yet there is a sense that schools are still not meeting the needs of all young people. The answer to this challenge is personalizing learning; a switch from the school to the learner - from the needs of the system to the needs of the person. This book presents both a manifesto and a model for the personalization of learning. It combines emerging theories of learning with best professional practice to support schools in developing their own way of moving from improvement to transformation.