Defining Effective Learning Tasks for All

An effective mathematics program may be defined as one in which classroom teachers implement tasks and activities that allow all students opportunities to engage in high levels of mathematical thinking and reasoning (NCTM, 2014). In the chapter, we describe background information regarding the preparation of practicing and prospective teachers when implementing research-based practices in the inclusive classroom. Specifically, we provide explicit background information from the extant literature regarding: 1. Equity, 2. Universal Design for Learning, and 3. How to use games as classroom activities to promote the development of mathematical concepts, skills, and conceptual reasoning.

[1]  Leon W. Cohen,et al.  Conference Board of the Mathematical Sciences , 1963 .

[2]  C. Sleeter Preparing Teachers for Culturally Diverse Schools , 2001 .

[3]  Anne K. Morris,et al.  Learning to Learn to Teach: An ``Experiment'' Model for Teaching and Teacher Preparation in Mathematics , 2003 .

[4]  M. Bay,et al.  Preparing Future Bilingual Special Educators: The Lessons We've Learned , 1997 .

[5]  Lou Edward Matthews,et al.  Towards Design of Clarifying Equity Messages in Mathematics Reform , 2005 .

[6]  C. Forlin Reframing teacher education for inclusion , 2010 .

[7]  E. Kroesbergen,et al.  Mathematics Interventions for Children with Special Educational Needs , 2003 .

[8]  H. Morgan Maximizing Student Success with Differentiated Learning , 2014 .

[9]  Orit Zaslavsky,et al.  Mathematics-related tasks, teacher education, and teacher educators , 2007 .

[10]  Shonda Lemons-Smith Dr. Asa G. Hilliard III: Trumpeter for the Academic and Cultural Excellence of African American Children , 2008 .

[11]  Jody Siker,et al.  Improved Lesson Planning With Universal Design for Learning (UDL) , 2013 .

[12]  Morgan S. Polikoff How Well Aligned Are Textbooks to the Common Core Standards in Mathematics? , 2015 .

[13]  David D. Hampton,et al.  Supporting the collaboration of special educators and general educators to teach students who struggle with mathematics: An overview of the research , 2009 .

[14]  D. Martin Hidden Assumptions and Unaddressed Questions in Mathematics for All Rhetoric , 2003 .

[15]  Suanrong Chen,et al.  Going against the Grain: Should Differentiated Instruction Be a Normal Component of Professional Development. , 2014 .

[16]  Trading the Three R's for the Four E's: Transforming Curriculum , 1995 .

[17]  Sally A. Spencer,et al.  Universal Design for Learning: Assistance for Teachers in Today's Inclusive Classrooms , 2011 .

[18]  Race, Reform, and Retrenchment: Transformation and Legitimation in Antidiscrimination Law , 1988 .

[19]  James D. Basham,et al.  Understanding STEM Education and Supporting Students through Universal Design for Learning , 2013 .

[20]  Norma Nel,et al.  ‘You can train us until we are blue in our faces, we are still going to struggle’: Teacher professional learning in a full-service school , 2014 .

[21]  Rochelle Gutiérrez Enabling the Practice of Mathematics Teachers in Context: Toward a New Equity Research Agenda , 2002 .

[22]  Nathan Rosenberg,et al.  Inside the black box , 1983 .

[23]  Hyman Bass,et al.  Combining the Development of Practice and the Practice of Development in Teacher Education , 2009, The Elementary School Journal.

[24]  William F. Tate,et al.  No Time Like the Present: Reflecting on Equity in School Mathematics , 2003 .

[25]  Christa Jackson,et al.  Bingo! Select Games for Mathematical Thinking. , 2013 .

[26]  Paula Maccini,et al.  Mathematics Instructional Practices and Assessment Accommodations by Secondary Special and General Educators , 2006 .

[27]  Tim Loreman,et al.  Essential Inclusive Education-Related Outcomes for Alberta Preservice Teachers. , 2010 .

[28]  Pearl Subban,et al.  Differentiated Instruction: A Research Basis. , 2006 .

[29]  Victoria L. Graf,et al.  Gaining Access to General Education: The Promise of Universal Design for Learning , 2007 .

[30]  P. Schempp Learning on the Job: An Analysis of the Acquisition of a Teacher's Knowledge. , 1995 .

[31]  Rochelle Gutiérrez Context Matters: How Should We Conceptualize Equity in Mathematics Education? , 2012 .

[32]  Peter Gates,et al.  Foregrounding social justice in mathematics teacher education , 2009 .

[33]  Rochelle Gutiérrez Embracing the Inherent Tensions in Teaching Mathematics from an Equity Stance. , 2009 .

[34]  O. Ukpokodu How Do I Teach Mathematics in a Culturally Responsive Way?: Identifying Empowering Teaching Practices. , 2011 .

[35]  Anne Meyer,et al.  Universal Design for Individual Differences. , 2000 .