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CMC North Conference             


Exponential Opportunities in Mathematics
December 3 - 5, 2010
Pacific Grove, CA
 
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Time Title Session# Session Type Grade Span Description Presenter
8:00 - 9:00 Building Modular Origami = Building Spatial Reasoning 130 WkS 6-12 Extend your students' understanding of three-dimensional geometry through an examination of the underlying structure and interrelations of polyhedra, including surface and dihedral angles, axes and planes of symmetry, and the concept of duality, by creating a variety of captivating modular paper-folded models. No previous origami experience required. Cagle, Peg
8:00 - 9:00 Fun and Powerful Geometry Activities for All 134 WkS 6-12 In this session several field-tested activities to teach geometry will be implemented. These activities are mathematically rich, standards-based, educationally flexible and super fun! Participants will experience the fun of discovering geometric properties and develop academic vocabulary. Templates of the materials used will be provided and teachers will be able to use them the next day in their own classroom. Winicki-Landman, Greisy
8:00 - 9:00 Mathematics And Poetry 136 WkS 6-12 Mathematics and Poetry are often seen as opposed to each other. However both seek the essence of experience, and compress our understandings into often-elegant forms. Writing poetry about mathematics increases understanding of mathematics, enriches poetic vocabulary, and integrates feeling into cognitive understandings. This workshop will present poems about mathematics and a bibliography. Teachers will experiment with writing games and exercises that are effective in the classroom. Dorf, Carol
8:00 - 9:00 Technology to Empower and Build Mathematical Capacity 141 WkS 3-8
Teachers hold the key to improving student learning and achievement and hence the equity in mathematics. They must know “mathematics for teaching” in order to make mathematics accessible to all. We will share strategies from school projects (American, Canadian, Australian) in which teachers “teach rather than tell”, in order to get students to “understand rather than to memorize” concepts of fractions, decimals, measurement, and algebraic thinking. Get a CD of ON and OFF computer material.

Neufeld, Rudy
8:00 - 9:00 It's All Connected: Similarity as a Geometric Building Block 150 WkS 8-12
Start with a rubber band activity that establishes a conceptual basis for understanding similarity. Next solve some rich, interesting problems using similarity. After developing the notion of expanding and reducing figures, use it to develop right triangle trigonometry. Then extend similarity for plane figures to include area comparisons, and conclude with surface area and volume comparisons for three-dimensional figures.

Arth, Karen
9:30 - 10:30 2 Birthday Parties in 1 Day? Problem Simulations on TI-Nspire 207 WkS 8-C
The results of the Birthday Problem are counter-intuitive; most people are surprised at how few people it takes to find matching birthdays.  We'll explore this with a TI-Nspired probability simulation that is accessible to middle and high school students.  Then, we'll extend the Birthday Problem to ask:  Are 4 digits enough? When your teacher posts only the last 4 digits of everybody's SS#, what's the chance that 2 will be the same?

Moskowitz, Stuart
9:30 - 10:30 Grids, Games and Arrays 213 WkS PK-2
In this K-2 workshop, the tens frame is used as a way for students to see a number of objects as composed of fives and extras. The arithmetic rack (rekenrek) is a visual and physical tool for thinking about number combinations and differences. We will explore some engaging games that build number sense using these kinds of grids and arrays.  The supplies required for the classroom are simple to make and/or readily available.

Carlyle, Ann
9:30 - 10:30 Algebra Connections:  All Students Can Learn Algebra 215 WkS 8-12 This session will demonstrate problem-based, student-centered lessons written for use with collaborative learning teams. Learn how to use structured student roles, multiple representations of ideas, and questioning strategies that draw out contributions from all students. Every student is smart--the task is to give them opportunities to show how. Based on the CPM Algebra Connections (Algebra 1) Program. Petersen, Bob
9:30 - 10:30 Geometry of Nature: Exploring Patterns, Shapes and Symmetry 237 WkS 6-12
Using naturally occurring examples of patterns, shapes, and symmetry can provide context for concepts learned in a traditional geometry class.  This workshop will present hands-on activities to explore macroscopic and microscopic examples of geometry in nature.  By interacting directly with different phenomena, students can discover how geometry affects our world. Teachers will gain concrete ideas of how to integrate patterns and symmetry from nature into their classes.

Yu, Julie
9:30 - 10:30 Mathematical Modeling using the TI-nspire 240 WkS 8-C This workshop will focus on using the multiple representation functionality of the TI-nspire to model real world situations. There will be an emphasis on Algebra and Calculus. Cook, Joshua
9:30 - 10:30 Build It, Draw It, Write It, Talk It . . . Own the Equity! 241 WkS 3-5 Engage students with a wide range of ability levels and learning styles with technology. We will use hands-on computer activities to build student confidence and understanding using interactive software along with high-yield instructional strategies in a variety of instructional settings. Participants will examine how to apply this student-centered, interactive approach to a variety of concepts including whole numbers and fractions. Participants will received a CD for classroom use. Neufeld, Rudy
9:30 - 10:30 Fun Factoring: Strategies that Make Sense to All Students! 245 WkS 3-8
All students can be successful using strategies from this hands-on workshop. Participants learn unique, multiple representation strategies, and motivating games using multi-sided dice and cards, for prime factoring and for factoring fractions to find LCM and GCF.  Students learn to view and decompose numbers, in a “different” way, one that leads to success in Algebra and higher mathematics.  Strategies are extended for factoring of polynomials, quadratics and finding square roots.

Mc Guire- Paulson, Nancy
9:30 - 10:30 Graphs: More Than Pretty Pictures 251 WkS 3-5 Students need to collect, organize, and display information in meaningful ways that help them make sense of the world around them. Graphs should help students compare and analyze the information that occurs in classroom and real-world experiences. The session will include lessons and activities that teachers can take back to their classrooms and use Monday. Holman, Lynda
11:00 - 12:00 Big Math for Little Kids:  Sorting and Patterns 315 WkS PK-2 Preschool and kindergarten children constantly try to understand their world. Sorting and recognizing patterns are important processes.  Learn the developmental sequences and have fun with hands-on activities you can use tomorrow.  (All activities support CA kindergarten  standards and preschool learning foundations.) Silverman, Sandy
11:00 - 12:00 Diamond Problems across the Grades 332 WkS 3-8 See how to use this effective teaching strategy to reinforce operations with whole numbers, fractions, decimals and integers to show the relationships between multiplying, dividing, adding and subtracting. We will show how to introduce this strategy in the lower grade levels and how to progress it through middle school math content and into algebra - culminating with how to use diamond problems with polynomials, factoring, and completing the square. Bjorkman, Thomas
11:00 - 12:00 It's A Tangram World 336 WkS 3-5 Working with this unique puzzle facilitates understanding of geometric shapes, congruent shapes, similar shapes, and size of angles. Making a set develops understanding of fraction-decimal-percent concepts. Building the world develops understanding of the relative size of continents. Playing games and solving puzzles strengthen math concepts. McLean, Peggy
11:00 - 12:00 Going Beyond Algorithms for Area and Perimeter 338 WkS 3-8 This session will use geo boards and graph paper to define area, and establish relationships between finding the area of rectangles, parallelograms, and triangles. Participants will work in teams on a series of area problems as the presenter models strategies for guiding students to engage with increasingly difficult problems. Participants will receive a CD with electronic copies of all materials presented, and will be able to retain any manipulatives used in the session. Smith, Keith
11:00 - 12:00 Speaking Math 340 WkS 6-12
A language-based approach to the instruction of math. Research shows that a more interactive classroom is an effective way to build student mastery. Teachers should use language as a "social tool for collective thinking." We will focus on making talk central to learning and knowing, especially for ELL. We will practice giving students access to academic concepts by talking through their definitions with each other and by forming definitions using familiar language and concepts.

Cook, Joshua
11:00 - 12:00 Closing the Achievement Gap with Math Simulations 341 WkS 3-8 In this engaging hands-on session, you will enter a 21st century classroom where you learn math using online simulations. Participants will become aware of the potential power of simulations for teaching math concepts using an inquiry-based approach. They will become familiar with various simulations and their correlations to the state math standards. Participants will gain an in-depth understanding of the simulations' implementation in the classroom.
Elias, Emad
11:00 - 12:00 Developing Linear Relationships 344 WkS 6-8 Experience some of the developmental problems that lead to understanding linear relationships. We will use activities from the new CPM middle school program, Making Connections: Foundations for Algebra, Year 2. You will see how the developmental focus is on conceptual understanding that leads to solving proportions, determining the slope of a line, and solving systems of equations. Shreve, Barbara
1:30 - 3:00 Integrating Proportions Across the Curriculum 404 WkS 6-12 All educated citizens need to know how and when to use proportions.  This session will use an activity-based approach to do many sorts of proportional problems.  The power of proportions is impressive, with few tools and a little ingenuity we can do very sophisticated calculations. We can go from measuring the diameter of a human hair to calculating the distance between the Sun and the Earth.  Proportions transcend math and science.  We will also show how to use proportions for our daily life. Tamez, Modesto
1:30 - 3:00 The Art of Units: Arrays, Areas and Angles. 413 WkS PK-2
Students' conceptual understanding of multiplication starts with the visual representation of an array. But the square units in the arrays can teach so much more! From a visual tool of a single square unit we can teach measurement that builds understanding through patterns to multiplication, area and perimeter and more. Come and see how creatively and artistically unit-building can be used to visually teach math concepts. 

Canty, Luana
1:30 - 3:00 Conceptual Algebra: Teach More, Better, Faster 415 WkS 6-8 Research shows that students learn best when they gain conceptual understanding before moving to procedural recipes. Explore hands-on investigations and video animations that develop conceptual understanding and lead to abstract procedures. The session will focus on solving equations and linear functions. Get materials, learn how to facilitate active learning, and how to integrate conceptual instruction into you classroom. Erickson, Sheldon
1:30 - 3:00 Student Centered Projects to Enrich a Precalculus Class 434 WkS 8-C
The presenters share projects that connect directly to topics in the precalculus curriculum, but use real data and information developed by students. Some projects involve collecting data from a pendulum, bouncing ball, or cooling water. In others, students design the problems and outcomes. Attendees will choose which projects to focus on during the session.  You will walk away with ready-to-use handouts and samples of student work.   Bring a TI-83 or TI-84 calculator, if you can. 

Albrecht, Masha
1:30 - 3:00 Exponential Opportunities for ELs with Comprehensible Input 435 WkS GI Yes they can! English learners can meet the high expectations with specially designed instruction. This workshop shows you how to plan and deliver lessons that are comprehensible to EL students at every level. It shows how to integrate the hallmarks of quality instruction for EL students. The highlight of this session is a lesson taught in another language that illustrates how to make content accessible and comprehensible even to students who speak no-English. Costa, Elmano
1:30 - 3:00 Engaging Middle School Students with the TI-34 Multiview 440 WkS 6-8 Participants will receive ideas on how to use the TI-34 to excite students about mathematics using patterns and activities that will use the calculator for student-centered learning with fractions and scientific notation. Solomon, Deobra
1:30 - 3:00 Fun in Algebra Class! 441 WkS 6-12 Hands-on workshop introducing classroom-ready fun activities as supplementary instructions addressing diverse modes of learning algebra. Topics include solving equations, inequalities, factoring, graphing, problem solving, exponentials and logarithms. We will present: games, art projects, videos, animal characters, poetry. Assessment shows improvement of content understanding and involvement for learners on all levels. Grzegorczyk, Ivona
1:30 - 3:00 The Number Line? Animate it to Teach and Reach (grades K-2) 446 WkS PK-2
Use the Animated Number Line to build non-language based, visual understanding of number relationships, difference, place value, and multi-digit addition. This interactive session will show how to develop number sense, count money, and show computation through hands-on activities that use the number line to increase understanding and retention for all students. CD with animations and handouts provided.

Zeller, Erich
1:30 - 3:00 Room for Alternative Algorithms: Multiplication & Division 448 WkS 3-8 Many students struggle with multiplication and division, particularly involving multi-digit numbers. As a 6th grade teacher, I have routinely used alternative algorithms to increase student understanding of the big four operations; addition, subtraction, multiplication, and division. This session will follow the pedagogical model used with students (focus is on multiplication and division, starting concretely and slowly moving towards the abstract), in their search for understanding. Preston, Robert
1:30 - 3:00 How Likely Is It? -- Probability Games of Fun and Chance 451 WkS 3-8
Probability is one of the most exciting and motivating math standards to investigate. Come join the fun as we explore a wide range of hands-on games and activities from a variety of sources. Our examination of this fascinating concept will include the use of dice, spinners, coins, and more. Through these activities students will learn how to interpret graphs, make predictions, and analyze data. Connections to other areas of the curriculum, and challenges for gifted students will be discussed

Murray, Tom
3:30 - 5:00 From Passive Spectator to Productively Engaged 505 WkS Tchr Ed Develop the many facets of adaptive reasoning - thinking logically about the relationships among concepts and situations; considering alternative perspectives, multiple representations and patterns; selecting appropriate procedures to solve contextually accessible problems; and justifying solution decisions. Vierra, Vicki
3:30 - 5:00 Powerful Problem Solving: Functions in Algebra 2 507 WkS 8-12 Participants will experience several activities concerning functions in an Algebra 2 class. These will include using a human graph to explore functions, domain and range, and asymptotes. There will be a function carousel, silent board game and some team problems to work on involving graphs of parabolas, hyperbolas, exponentials, absolute value, and logarithms. Teachers will receive ideas and materials that they can use in their own classrooms. Romanek, Brenda
3:30 - 5:00 Powers of Art: Multiplications for Middle Grades 513 WkS 3-8
Inspired by Warhol & Mondrian, learn to visualize multiplication through art! Cut, glue & paint your way through a variety of art projects that develop conceptual understanding for middle grades multiplication. Aesthetic representations illustrate different mathematical models, emphasizing the commutative, associative, and distributive properties, as well as exponents. This hands-on session will enliven and enrich your math teaching! Non-artists are especially welcome!

Morris, Kathy
3:30 - 5:00 Visual, Auditory, & Kinesthetic Cures for Scrambled Brains 515 WkS 3-5 Participants will learn and practice specific tactics to facilitate equitable learning of content standards. Strategies include student-made manipulatives, instant assessment for more efficient instruction, language to enhance understanding, total student participation that engages and reveals individual mastery. Individual problems addressed. Handout. Manderscheid, Marilynn
3:30 - 5:00 Solar Calendar Geometry--It's All Angles! 517 WkS 6-12 Explore the geometry of the sky as we model the orbital planes and relative positions of the sun and moon through the seasons and discuss the 18.6 year “lunar standstill.”  We will make a "pinhole analemma" and design our own  "ancient observatory".   This workshop is based on observations and activities done at the Cesar Chavez Memorial Solar Calendar in Berkeley, California. Brady, Victoria
3:30 - 5:00 Making Sense of Integer Operations 533 WkS 6-8 Help your struggling students understand integer operations by using familiar contexts and a model.  Learn how to create bridges to understanding between concrete thinking and abstract ideas associated with integers. Raff, Cynthia
3:30 - 5:00  Geometry in Playgrounds 536 WkS 3-8 Come explore the geometry of playgrounds! These activities were developed in conjunction with the Exploratorium's NSF-funded Geometry Playground exhibition. Designed for use in generic parks, playgrounds, and schoolyards, we'll make measuring tools to use outside where we'll make measurements, identify and draw shapes, compare shape attributes, explore networks, and play some games. In the event of rain, we’ll make indoor adaptations.  Lambertson, Lori
3:30 - 5:00 Building a Bridge from Elementary Mathematics to Geometry 539 WkS 3-8 Hands-on activities and strategies will be presented to help the elementary student, including English Language Learners and those considered at-risk, to master the geometric principles necessary to be successful in higher level mathematics courses. Walker, Juanita
3:30 - 5:00 Scaffolding a Square = Success^2 543 WkS 8-12 A rich and thematic set of problems (developed by the California Mathematics Project and the MPDI) illustrate effective scaffolding of area and perimeter concepts. At their upper level, an elegant solution to the area maximization problem highlights the value of completing the square. Taking this experience back into the classroom and incorporating manipulatives has yielded tips to improve instruction, and increased student success when analyzing conic sections. Beeman, Bix
3:30 - 5:00 Level the Playing Field for All Using Math Games! 544 WkS 6-12
Using math games as a teaching strategy provides teachers with tools to motivate all students, especially those who struggle with math. The curriculum becomes available to all students using these games centered around Soccer, Baseball, Basketball, and Football.   All students get a chance to score while refining fundamental skills with algebra, integers, fractions, decimals, basic operations and more! Put on your game face and be prepared to play!
Mc Guire- Paulson, Nancy