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New Pathways for Developmental Math: A Look into Mathematical Literacy for College Students Kathleen Almy Rock Valley College
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1 Look forward, not back
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Source: http://socialmediaweek.org What do you wish students could do with this graphic?
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Reading skills Critical thinking Numeracy skills Algebraic base Function knowledge Able to integrate concepts Can use technology Not intimidated by problems with words
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Reading skills Critical thinking Numeracy skills Algebraic base Function knowledge Able to integrate concepts Can use technology Not intimidated by problems with words CONNECT APPLY RETAIN
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Is this enough to get them there? 30% of what is 42?
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Does this help? A train leaves a station at 4 pm traveling 55 mph. Another train leaves the station at 5 pm traveling 65 mph. When will the second train catch the first one?
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Is developmental math high school 2.0? Is developmental math a door or a hoop?
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Issues Nationally Length of sequence Poor outcomes Skill-heavy initiatives Locally Success for traditional program One size fit all
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2 Moving towards solutions
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Update content Balance instruction Diversify assessment Differentiate pathways
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A New Pathways Option In one semester, Mathematical Literacy for College Students gives a student at the beginning algebra level the mathematical maturity to be successful in statistics, liberal arts math, or intermediate algebra.
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2009 2010 2011 2012 2013 AMATYC New Life initiative
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2009 2010 2011 2012 2013 AMATYC New Life initiative New Life leads to Statway & Quantway
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2009 2010 2011 2012 2013 AMATYC New Life initiative New Life leads to Statway & Quantway Statway pilots begin MLCS pilot begins at RVC
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2009 2010 2011 2012 2013 AMATYC New Life initiative New Life leads to Statway & Quantway Statway pilots begin MLCS pilot begins at RVC Quantway pilots begin
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2009 2010 2011 2012 2013 AMATYC New Life initiative New Life leads to Statway & Quantway Statway pilots begin MLCS pilot begins at RVC Quantway pilots begin Project begins to scale
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Pathways primer MLCSQuantwayStatwayStatpath One semester DM course Preparation for multiple outcomes One semester DM course Like a quant lit course, just-in-time DM Two semester DM + CL course Satisfies a statistics requirement One semester DM course Descriptive statistics, just-in-time DM
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Pathways primer MLCSQuantwayStatwayStatpath One semester DM course Preparation for multiple outcomes One semester DM course Like a quant lit course, just-in-time DM Two semester DM + CL course Satisfies a statistics requirement One semester DM course Descriptive statistics, just-in-time DM Not better, different: Philosophy: DM vs. CL Role of algebra Broad vs. narrow goals
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MLCS Content Areas Numeracy Proportional reasoning 2 Algebraic reasoning Functions 1 3 4
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Traditional Approach: Linear Numbers Algebra Functions Proportions
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New Approach: Integrated & Layered Geometry, statistics, student success, mathematical success Numeracy Algebraic Reasoning Proportional Reasoning Functions
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Student & mathematical success
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New goals Engagement Connections Productive persistence Deliberate practice
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FAQs What about factoring? Does this course “dumb down” developmental math standards for entry into college level courses? Are you pushing students away from STEM majors?
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3 Build it differently
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Use research & experience Successful countries Brain-based learning Redesign lessons
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Recognize a history of algebra
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Incorporate technology for the 21 st Century
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Incorporate a new instructional design EXPLORE DISCOVER CONNECT REFLECT PRACTICE
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Strike a balance Group Work Direct Instruction
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Snapshots
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Address realities Materials Adjuncts Articulation Training
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FAQs What reaction do you get from students?
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4 Show, don’t tell
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Sampler Class testing Training Assessments
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Varied support for a variety of needs
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Open-ended problems, not exercises Linear equations Functions Slope Algebraic vs. numeric methods Excel
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Open-ended problems Linear equations Functions Slope Algebraic vs. numeric methods # of BooksSonyNookHardcover (no device) 1$241.95$109.00$24.50 2$254.90$119.00$49.00 3$267.85$129.00$73.50 4$280.80$139.00$98.00 5$293.75$149.00$122.50 6$306.70$159.00$147.00 7$319.65$169.00$171.50 8$332.60$179.00$196.00 9$345.55$189.00$220.50 10$358.50$199.00$245.00 11$371.45$209.00$269.50 12$384.40$219.00$294.00 13$397.35$229.00$318.50 14$410.30$239.00$343.00 15$423.25$249.00$367.50 16$436.20$259.00$392.00 17$449.15$269.00$416.50 18$462.10$279.00$441.00 19$475.05$289.00$465.50 20$488.00$299.00$490.00 21$500.95$309.00$514.50 22$513.90$319.00$539.00 23$526.85$329.00$563.50 24$539.80$339.00$588.00 25$552.75$349.00$612.50
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Open-ended problems Linear equations Functions Slope Algebraic vs. numeric methods Combining these perspectives gives more information than one method alone.
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5 Provide more options, not fewer
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More than statistics preparation… science, nursing, algebra, and quantitative literacy readiness
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Chemical equations Dimensional analysis IV drip rates Order of magnitude
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A strong foundation for an undecided student
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6 Do or do not; there is no try
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PrealgebraMLCS Intermediate Algebra STEM College Level Math Non-STEM College Level Math (Statistics, Liberal Arts Math) Implementation Ideas: replace beginning algebra
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Implementation Ideas: support an emporium Prealgebra Beginning Algebra Intermediate Algebra College Level Math
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Prealgebra MLCS Intermediate Algebra STEM College Level Math Non-STEM College Level Math (Statistics, Liberal Arts Math) Beginning Algebra Implementation Ideas: augment traditional sequence
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RVC Course Sequence
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Implementation Ideas: 4 th year high school course Non-STEM College Level Math Algebra 1GeometryAlgebra 2MLCSPrealgebraAlgebra 1Basic MathPrealgebraAlgebra 1GeometryMLCS
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Questions
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For More Information Kathleen Almy Rock Valley College kathleenalmy@gmail.com http://almydoesmath.blogspot.com
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