AAMP Up Math

 

The urgency of the times challenges all teachers to be willing to“ jolt themselves into a moment of extraordinary discomfort with this simple but profound question: "Is it working…in your classroom?

 

WHAT TO TEACH:
A: ALIGN TO AN OBJECTIVE
:

1. Common Core main page: http://www.corestandards.org/the-standards/mathematics/

2. The National Science Digital Library Math Common Core collection features digital learning resources that address concepts and skills components of the Math CCSS Math: http://nsdl.org/commcore/math/

ESSENTIAL QUESTIONS:
COMMON CORE CURRICULM STANDARDS MATH

Guidelines for faithful implementation of Curriculum State Standards will require an enhanced level of teaching and interaction with students, requiring ¾ of instructional time devoted to “major work at each grade”. To gauge your level of expertise, ask your self these CCSS math questions:

1. Do you scaffold your teaching, partitioning it in small manageable chunks for the purpose of planning and delivering instruction?

2. Do you provide explicit instruction? (AAMP—know How to Teach)

     A. Provide clear models on how to solve a problem?
B. Guide students to understand and articulate relationships?
C. Provide opportunity for extensive practice with immediate      feedback in class?
D. Encourage students to verbalize their thinking?
E. Encourage students to make connections between their mathematical experiences and the concepts and skills?

3. Do you provide meaningful practice based on conceptual understanding, number sense connected to previous learning, NOT just learning and practicing rote procedures?

4, Do you provide discreet instruction on math’s academic vocabulary to help students articulate their mathematical thinking coherently and precisely?

5. Do you follow the Standards for Mathematical Practice
so that students will:

           1. Make sense of problems and persevere In solving them?
    
2. Reason abstractly and quantitatively?
    
3. Construct viable arguments and critique the reasoning of      others?
    
4. Model with mathematics?
    
5. Use appropriate tools strategically?
    
6. Attend to precision?
    
7. Look for and make use of structure?
    
8. Look for and express regularity in repeated reasoning?

6. Do you teach to mastery, using both formative and summative assessment as actionable data to reteach a concept and then allow students to retest?

7. Do you provide non-threatening homework, guided practice based on the day’s lesson that allows students the freedom to learn from their mistakes?

 

 

RESOURCES ON

“HOW” TO TEACH

The Core Curriculum Standards endorse flexible and innovative teaching that ensures student engagement, multiple opportunities to practice: critical thinking, writing and using models for math. The traditional lecture-note taking strategy should be replaced with alternate types of engagement, such as “The New American Lecture”, which provides the mathematics teacher with “a strategic way of delivering content and providing direct instruction for a procedure”.

The Four P’s of the New American Lecture:

1.The teacher PREPARES students for the lecture with an engaging hook.

2.The teacher PRESENTS BRIEF CHUNKS OF CONTENT, which students record on a visual organizer or students use abstract models to represent content.

3.The teacher PAUSES after each chunk and poses a review question.

4.The teacher provides time for students to PROCESS CONTENT, REFINE ANSWERS AND OR PRACTICE SKILLS.

 

HOW TO TEACH MATH

 

 

1. THE PARTNER FOR 21ST CENTURY SKILLS MAP-MATH:

The Partnership for 21st Century Skills (P21) has forged alliances with key national organizations representing the core academic subjects, including Social Studies, English, Math, Science, Geography, World Languages and the Arts. These collaborations have resulted in the development of 21st Century Skills Maps that illustrate the essential intersection between core subjects and 21st Century Skills. Below is their newly published Math Map: This documents is a blend of what and how to teach.   http://www.p21.org/storage/documents/P21_Math_Map.pdf

 

 2.  Styles and Strategies for Teaching High School Mathematics: 21 Techniques for Differentiating Instruction and Assessment (Styles & Strategies) http://www.corwin.com/ Edward J. Thomas , John R. Brunsting, Pam L. Warrick

A powerful resource that presents Mastery Strategies, Understanding Strategies, Self Expressive Strategies, Interpersonal Strategies and Multi-style strategies. Incorporates all the components of CCSS math. Should be in the hands of every math teacher who wants to build a 21st Century classroom.   http://tinyurl.com/c7skpyk

 

love-math3. Learning to Love Math: Dr. Judy Willis: Dr. Willis is a board certified neurologist and middle school teacher. Her unique brain-compatible perspective details the “biology of fear” in math and how to help students overcome their math anxiety through thoughtful teaching and purposeful teaching. She provides many activities. This is a must-read resource for all math teachers. http://tinyurl.com/8ug26qh

 

Also, see her personal website: http://www.radteach.com/

 

4. What Successful Math Teachers Do, Grades 6-12--79 Research-Based Strategies for the Standards-Based Classroom: successful-mathAlfred S. Posamentier, Daniel Jaye http://www.corwin.com/

As The Common Core Standards draw on National Council of Teaching Mathematics Standards (NCTM), this book is a concise roadmap of teacher effectiveness, providing many illustrations of what and how to teach in critical areas of teaching mathematics:   managing your classroom, enhancing teaching techniques (The A in AAMP…active teaching), facilitating student learning, assessing student learning (The M in AAMP), teaching problem solving, and
considering social aspects of teaching
. This publisher prints a similar books for K-6.

 

 common-core-math5. Teaching the Common Core Math Standards with Hands on Activities: Judith Muschia, Gary Mucshia, Erin Muschia Integrated math projects based on problem solving and critical thinking. Sponsored by Bill Gates’ funds. An easy to use resource designed to help teachers ease into Common Core Standards. Available digitally so teachers can download, copy and modify based on your classroom.

 

 HOW TO MEASURE MATH PERFORMANCE

1.  John Mueller: Authentic Assessment Tool Box: Comprehensive website on how to use authentic assessment to inform teaching practice—the math page: http://nsdl.org/commcore/math/

In addition to the videos, power points, and manipulatives, provided by most textbook companies, and the “self help” resources on You Tube and Teacher Tube, publishers, research universities and philanthropies are furiously creating new Core Curriculum State Standards materials to help teachers. Sample resources are included below:

 For many more resources, see not only those related to math, but “HOW TO TEACH” resources under “ACTIVELY TEACH” and assessment strategies under “MEASURE PERFORMANCE”. In order to achieve CCSS math, teachers need to acquire a wide repertoire of teaching delivery systems and formative assessment tools in order to engage all students and effectively measure their learning and understanding.

     additional-resources

1. Teaching the Common Core Math Standards with Hands-On Activities, Grades 6-8 (Jossey-Bass Teacher) (http://tinyurl.com/7ek3t3l) Created by teachers for teachers; funded by Bill Gates, integrated units, providing instruction that will help students acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence.

2.  Articles on Common Core Standards on Dr. Hung Hsi Wu’s website. This website contains papers about mathematics education, separated into two groups. The first group consists of papers that are directly related to the Common Core Mathematics Standards, and the second group contains the other papers on mathematics education. Within each group, the papers are listed more or less in chronological order. The general heading before each title ("General", "Curriculum", "Professional Development") gives a rough indication of its content. Dr. Wu was featured in the AFT Newsletter:  http://math.berkeley.edu/~wu/|

3.  VIDEO: John Hattie, author of Visible Learning: A Synthesis of Over 800 Meta-Analyses Relating to Achievement speaks about the importance of formative assessment and direct instruction, (http://www.youtube.com/watch?v=SisXbT7CWWs)

4.  AIMS Education Foundation: Association for the Integration of Math and Science, provides numerous support materials, all designed to improve student understanding with engaging hands on activities. Many downloadable books, free lessons. http://www.aimsedu.org/common-core-math/index.html

1.  Spencer Kagan Cooperative Learning: provides sophisticated, easy-to-use engagement structures to ensure the highest level of student participation. These materials not only provide step by step instructions on how to implement cooperative learning, but numerous activities that simultaneously develop the rigor expected by CCSS: thinking skills, communication skills, teamwork skills, and diversity skills. Math resources range from: Kindergarten to High School: “ http://tinyurl.com/72523jr

2.  The Mathematics Assessment Project (MAP), a collaboration between the University of California at Berkeley and the Shell Centre at the University of Nottingham with support from the Bill & Melinda Gates Foundation, offers formative assessment lessons and summative tasks to support implementation of theThese numerous beta version resources are currently available free to download. You can learn more about these resources at http://map.mathshell.org.

3.  The Middle School Portal 2 Math and Science Pathways: Provides resources to support your “personal instructional style while, perhaps, introducing materials that encourage you to experiment with a wider range of teaching techniques”.  http://tinyurl.com/cx58fpg

 

 PURPOSEFUL READING, DISCUSSION AND WRITING-MATH

Math teachers share reading and writing responsibilities of CCSS. Many math publishers now provide extensive “Write to Learn” math tasks, with rubrics. One resource that promotes reading, writing and discussion:

1.Algebra Out Loud: Learning Mathematics Through Reading and Writing

2.Geometry Out Loud: Learning MathematicsThrough Reading and Writing

3.Pre-Algebra Out Loud: Learning MathematicsThrough Reading and Writing

The “Out Loud: Learning Mathematics Through Reading and Writing” series provides strategies and activities will give students the edge in learning how to summarize, analyze, present, utilize and retain mathematical content. The book offers proven writing activities that will engage the students in writing about mathematical vocabulary, processes, theorems, definitions, and graphs.  http://tinyurl.com/8bngldl

 CCSS Math Compared to International Standards

To replace the current “mile-high-inch-deep” math curriculum, the Common Core Curriculum Standards may “finally give students” the high-quality standards they deserve. With an overlap of nearly 90% between the common math standards and those countries identified with A+ standards, the new standards closely mirror those of the world’s highest-achieving nations.

Three characteristics in the curricula of the highest performing countries:

1.  Coherence--the logical structure that guides students from basic to more advanced material in a systematic way.

2.  Focus- the push for mastery of a few key concepts at each grade rather than shallow repetition of the same material.

3.  Rigor—increasing the ascending level of difficulty at each grade level