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The Changing Landscape US Math Education. Latvia. Slovak Republic. Hungary. Japan. Netherlands. Luxembourg. France. Belgium. Canada. Norway. Germany. Macao China. South Korea. Ireland. Hong Kong China. Austria. Denmark. Finland. New Zealand. Iceland. Sweden. Poland.
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The Changing Landscape US Math Education
Latvia Slovak Republic Hungary Japan Netherlands Luxembourg France Belgium Canada Norway Germany Macao China South Korea Ireland Hong Kong China Austria Denmark Finland New Zealand Iceland Sweden Poland Switzerland Czech Republic Liechtenstein Spain Program for International Student Assessment
Grade 8 Passing Rate National Center for Educational Statistics -- 2007
Reading Math Georgia Grade 8 Students Not Passing State Test www.doe.k12.ga.us -- 2008
Connecticut High Schools Not Making AYP www.sde.ct.gov -- 2008 High Schools Not Making AYP
Math Wars Math Wars, Latterell, Carmen M. -- 2005
Traditional Approach Strengths Easy Implementation Systematic Instruction Weaknesses Not Very Engaging Some Students do not Generalize Math Wars, Latterell, Carmen M. -- 2005
Progressive Approach • Strengths • Engaging Activities • Emphasizes Understanding • Weaknesses • Hard to Implement • Hard to Internalize Principles Math Wars, Latterell, Carmen M. -- 2005
Number of Topics per Grade Grade Center for Research in Math & Science Education, Michigan State University
Grade 4 International Test Question “There are 600 balls in a box, and 1/3 of the balls are red. How many red balls are in the box?” Percent Correct Center for Research in Math & Science Education, Michigan State University
Changing Course “Teachers face long lists of learning expectations to address at each grade level, with many topics repeating from year to year. Lacking clear, consistent priorities and focus, teachers stretch to find the time to present important mathematical topics effectively and in depth.” www.nctm.org/focalpoints
NCTM Now Recommends Instruction should devote “the vast majority of attention” to the most significant mathematical concepts. Focus on developing problem solving, reasoning, and critical thinking skills. Develop deep understanding, mathematical fluency, and an ability to generalize. www.nctm.org/focalpoints
National Math Panel Report “The manner in which math is taught in the U.S. is "broken and must be fixed." www2.ed.gov/about/bdscomm/list/mathpanel/reports.html
National Math Panel Recommendations Math curricula should: Be "streamlined and should emphasize a well-defined set of the most critical topics in the early grades." Emphasize "the mutually reinforcing benefits of conceptual understanding, procedural fluency, and automatic recall of facts." Teach with "adequate depth." Have an "effective, logical progression from earlier, less sophisticated topics into later, more sophisticated ones." Have teachers regularly use formative assessment. www2.ed.gov/about/bdscomm/list/mathpanel/reports.html
Screen all students and provide interventions to students identified as at-risk. Instructional materials for students should focus intensely on in-depth treatment of whole numbers. Instruction during the intervention should be explicit and systematic. Include instruction on solving word problems that is based on common underlying structures. Students should work with visual representations. Devote ten minutes in each session to fluent retrieval of basic arithmetic facts. Monitor student progress. Include motivational strategies. ies.ed.gov
For over a decade, research studies of mathematics education in high performing countries have pointed to the conclusion that the mathematics curriculum in the United States must become substantially more focused and coherent in order to improve mathematics achievement in this country. To deliver on the promise of common standards, the standards must address the problem of a curriculum that is “a mile wide and an inch deep.” These Standards are a substantial answer to that challenge. www.corestandards.org
Kindergarten Standards www.corestandards.org
Colleges Providing Sufficient Training www.nctq.org
Massachusetts Teacher Licensing “Education leaders said that the high failure rate reflects what they feared, that too many elementary classroom and special education teachers do not have a strong background in math and are in many ways responsible for poor student achievement in the subject, even in middle and high schools.” Teacher Candidates Passing License Test Boston Globe
Massachusetts Reading & Math % of Proficient & Advanced Students www.doe.mass.edu/mcas/2009/results/summary.pdf -- 2009