Jacque Melin GVSU EXTERNAL DRIVERS Education Trends Changing Society/Workplace Technology Global Competition Economic Trends Demographics S. Gendron, Kentwood presentation, March 2011 Schools are Improving S. Gendron, Kentwood presentation, March 2011 Schools are Improving S. Gendron, Kentwood presentation, March 2011 Rigor/Relevance For All Students Knowledge Taxonomy 1. 2. 3. 4. 5. 6. Awareness Comprehension Application Analysis Synthesis Evaluation S. Gendron, Kentwood presentation, March 2011 Application Model 1. Knowledge in one discipline 2. Application within discipline 3. Application across disciplines 4. Application to real-world predictable situations 5. Application to real-world unpredictable situations S. Gendron, Kentwood presentation, March 2011 Levels Bloom’s 6 5 4 3 2 1 C D A B 1 2 3 4 5 Application S. Gendron, Kentwood presentation, March 2011 National Essential Skills Study ELA Skill: Write clear and concise directions or procedures. Group Rank Overall 9 Business/Industry 2 Other Non-educators 10 English Language Arts Teachers 25 Other Educators 8 S. Gendron, Kentwood presentation, March 2011 ELA Skill: Give clear and concise oral directions. Group Rank Overall 7 Business/Industry 3 Other Non-educators 9 English Language Arts Teachers 28 Other Educators 7 S. Gendron, Kentwood presentation, March 2011 Math Skill: Apply the Pythagorean Theorem to right triangles. Group Rank Overall 20 Business/Industry 29 Other Non-educators 31 Mathematics Teachers 4 Other Educators 24 S. Gendron, Kentwood presentation, March 2011 Math Skill: Understand accuracy and precision of measurement, round off numbers according to the correct number of significant figures, and determine percent error. Group Rank Overall 12 Business/Industry 3 Other Non-educators 10 Mathematics Teachers 30 Other Educators 8 S. Gendron, Kentwood presentation, March 2011 Social Studies Skill (Economics): Investigate how a cost/benefit analysis can influence decisions based on profits and losses. Group Rank Overall 22 Business/Industry 3 Other Non-educators 15 Social Studies Teachers 57 Other Educators 18 S. Gendron, Kentwood presentation, March 2011 Social Studies Skill (History): Analyze major global occurrences from 1000 BCE – 1914 CE (onset of World War I) and describe the causes, consequences, or results. Group Rank Overall 21 Business/Industry 24 Other Non-educators 21 Social Studies Teachers 8 Other Educators 23 S. Gendron, Kentwood presentation, March 2011 Standards Charge Common Core Standards Criteria Rigorous Clear and specific Teachable and learnable Measurable Coherent Grade by grade standards Internationally benchmarked S. Gendron, Kentwood presentation, March 2011 Common Core State Standards Fewer, Clearer, Higher STANDARDS FOR ENGLISH LANGUAGE ARTS & LITERACY IN HISTORY/SOCIAL STUDIES, SCIENCE, AND TECHNICAL SUBJECTS JUNE 2010 STANDARDS FOR MATHEMATICS JUNE 2010 Goal of Next Generation Assessments To develop assessments that don’t simply measure whether students can fill in a bubble on a test, but whether they possess 21st century skills like problem-solving and critical thinking and entrepreneurship and creativity. S. Gendron, Kentwood presentation, March 2011 How We Teach Makes A Difference! Complete the Active Learning and the Personalization Checklists independently Discuss with team Underline Pervasive and Considerable Circle Initiated or Absent Arrive at consensus on item(s) of concern Community •Teacher/Student Connections •Safe Environment •Shared Partnership Curriculum •Essential KUDs (Targets) •Engagement •Teaching up Assessment •Pre-Assessments Instruction •Addressing Readiness, •Formative (onInterests, going) Assessments to inform Learning Profiles instruction •Multiple strategies •3-P Grading •Flexible management From C. Tomlinson, Wildly Exciting Education 2010 Thinking About the Sternberg Intelligences ANALYTICAL Linear – Schoolhouse Smart - Sequential Show the parts of _________ and how they work. Explain why _______ works the way it does. Diagram how __________ affects __________________. Identify the key parts of _____________________. Present a step-by-step approach to _________________. PRACTICAL Streetsmart – Contextual – Focus on Use Demonstrate how someone uses ________ in their life or work. Show how we could apply _____ to solve this real life problem ____. Based on your own experience, explain how _____ can be used. Here’s a problem at school, ________. Using your knowledge of ______________, develop a plan to address the problem. CREATIVE Innovator – Outside the Box – What If - Improver Find a new way to show _____________. Use unusual materials to explain ________________. Use humor to show ____________________. Explain (show) a new and better way to ____________. Make connections between _____ and _____ to help us understand ____________. Become a ____ and use your “new” perspectives to help us think about ____________. Story Response: Choice Board (Triarchic Intelligences) TARGET: I can describe the theme or message that a writer or author wants to communicate. Analytic Listen to or read a story and create a chart that tells events in the story and how they contribute to the theme of the story. Practical Think of a time you or someone you know was in a situation similar to the main character in the story. Draw and/or write about it and include the theme or message that was similar to the story. Creative Imagine that the story continues after the last page. Use Prezi or PowerPoint or act out the next scene. This scene should relate to the theme or message of the story. Immigration: Choice Board (Triarchic Intelligences) TARGET: I can explain the meaning of “melting pot,” “mosaic,” and “salad bowl” as they relate to immigration in America. Analytic Analyze how and why the U.S. population has shifted from a melting pot to a salad bowl or mosaic as it has assimilated new immigrants. Show your analysis in a diagram. Practical Think of the population of Grand Rapids and Kent County. Is it better for Grand Rapids to assimilate new people to this area like a melting pot or a salad bowl? Defend your position in a Podcast. Creative Create a different pair of metaphors to characterize how immigrants assimilated in the past and how they assimilate today. Write an explanation for each or create a visual to depict them. Story Elements: Tic-Tac-Toe Board (Auditory, Visual, Kinesthetic) Target: I can describe the elements of a story (characters, setting, plot). Novel Think Tac-Toe Directions: Select and complete one activity from each horizontal row to help you and others think about your novel. Remember to make your work thoughtful, original, rich with detail, and accurate. Create a pair of collages that compares you and a character in the book. Compare and contrast physical and personality traits. Label your collages so viewers understand your thinking. Write a bio-poem about yourself and another about a main character in the book so your readers see how you and the character are alike and different. Be sure to include the most important traits in each poem. Write a recipe or set of directions for how you would solve a problem and another for how a main character in the book would solve a problem. Your list should help us know you and the character. Draw/paint and write a greeting card that invites us into the scenery and mood of an important part of the book. Be sure the verse helps us understand what is important in the scene and why. Make a model or a map of a key place in your life, and an important one in the novel. Find a way to help viewers understand both what the places are like and why they are important in your life and the characters’. Make 2 timelines. The first should illustrate and describe a least 6-8 shifts in settings in the book. The second should explain and illustrate how the mood changes with the change in setting. Using books of proverbs and/on quotations, find at least 6-8 that you feel reflect what’s important about the novel’s theme. Find at least 6-8 that do the same for your life. Display them and explain your choices. Interview a key character from the book to find out what lessons he/she thinks we should learn from events in the book. Use a Parade magazine for material. Be sure the interview is thorough. Find several songs you think reflect an important message from the book. Prepare a Podcast. Write an exhibit card that helps your listener understand how you think these songs express the book’s meaning. Novel Title: ____________________ Author:_______________________ Activities Selected: _______, _____, _____ Student: ______________________ Counting Principles & Probability: Tic-Tac-Toe Board (Auditory, Visual, Kinesthetic) Targets: •I can write the steps of a math induction proof for a given series. •I can apply Pascal’s Triangle to find the coefficients of a binomial expansion. •I can apply the Binomial Theorem to expand a binomial. •I can find probabilities of mutually exclusive & independent events. V. Thomasma, Kentwood Counting Principles & Probability Tic-Tac-Toe Board Choose three activities in a row (horizontally, vertically, or diagonally) to complete. The activities are designed to help you relate to and remember probability concepts. They are due at the end of the unit, so please work on them after completing daily work in class, or at home. You may work by yourself or with one other person on any or all three activities. 1. Letter of Advice Write a letter to a friend who is in Algebra 2 this year, and going to take Precalculus next year. Don’t scare them! Instead, list and describe four pieces of advice that would help them succeed in Precalculus. Stretch your brain, and make at least 2 pieces of advice relevant to this unit. 2. In The News Pretend you are a journal reporter in the 1600s. (You’ll also need to pretend they had TV and reporters then!) Your job is to describe the controversy over Pascal’s Triangle…did Blaise Pascal really discover it? Should it be named after him? Use the internet to conduct some research. Plan it out ahead of time, then create a short clip (less than 5 minutes) with a video camera. 3. Graphing Calculator Activity Create 5 probability problems that are solved most efficiently with a Graphing Calculator. (Hint: using combinations, permutations and The Binomial Theorem guarantees this). Make at least 2 of the problems real-life scenarios. Include the answers as well. (Interpersonal/Linguistic) (Bodily/Kinesthetic) (Mathematical/Logical) 4. Poem or Rap Write a poem or rap about either permutations & combinations, Pascal’s Triangle, or The Binomial Theorem. Be sure to include information that will give your fellow math students a clever way of remembering how to use the mathematical skill you chose! Your work may be either read or performed for the class. 5. Jeopardy Review Game Write Jeopardy questions that can be used to review our Probability Unit. Include 10 questions with answers. Use an index card for each question, with the answer on the back. We will use 6 categories, which are the titles of the lessons in your book. Write at least one question for each category. 6. Poster It is your chance to make a cheat sheet for your classroom! Design and make a poster that includes the important concepts from this unit. Make it colorful, and include at least 2 relevant pictures or drawings. It will be displayed in the classroom, until test day of course! (Musical/Rhythmic) (Linguistic/Intrapersonal) (Visual/Spatial) 7. Internet Research Search the Internet to find 5 games that use Combinatorics (permutations or combinations). Begin at Mrs. Thomasma’s Math of Games website: www.mathematicsofgames.pbwiki.co m For each game, write a brief description of the game, which combinatorics are used, and how knowledge of the math might help with strategy! (Intrapersonal) 8. Comic Strip Create a comic strip that highlights a concept about probability, counting principles, math induction, or another topic from our unit. Include illustrations and dialogue. 9. Nature Walk Take a walk outside to brainstorm examples of arithmetic and geometric patterns that occur in nature. You may consider architecture also. Record at least four of your observations. Draw or take pictures of them, and explain which type of sequence each exemplifies. (Visual/Spatial) (Naturalist) Poetry: Learning Menu Probability: Learning Menu Targets: Not determined Language Arts Poetry Unit Main Dish (complete all) 1. Research a famous poet. Create a mind map that might have been in his/her head while writing his/her works. For example, Robert Frost would have been thinking about things such as woods and snow. 2. Write about yourself. Use good descriptive words in the poem format of your choice that helps us know and understand something important about you. 3. Illustrate a poem. Find a poem that you like and illustrate it then explain in writing why you chose that poem. Side Dishes (you must do at least two of these) 1. 2. 3. 4. 5. Write a cinquain. Write a poem that sounds like Shel Silverstein. Write an acrostic poem using figurative language. Write a poem using the format of your choice. Select, memorize and recite a poem. Teacher approval of selected poem is needed. Desserts (You may do one or more of these if time allows) 1. Create a PowerPoint presentation about figurative language. This PowerPoint should include one slide that illustrates a simile, metaphor, and onomatopoeia. Be sure to include clipart. 2. Record a dramatic reading of a poem; be sure to add appropriate sound. 3. Write an original score to accompany a poem of your choice. Be prepared to perform for the class. Menu Subject: Algebra I - Probability Main Dish (complete all) 1. Create a list of 10 pairs of events. 5 pairs should contain events that are dependent and 5 should be independent. Explain each classification. 2. Examine a list of functions and determine which functions represent probability distributions. Side Dish (choose two) 1. Work with a partner to analyze the game of “Primarily Odd.” See your teacher for game cubes and further instructions. 2. Design a “game spinner” that has this probability distribution: P(red) = 0.1; P(green) = 0.2; P(blue) = 0.3; P(yellow) = 0.4. 3. Suppose a dart lands on a dartboard made up of four concentric circles. For the center of the board (the “bull’s eye”), r = 1.5; the remaining rings have widths of 1.5. Use your understanding of area and probability to determine the probability of 1) hitting the “bull’s eye” and 2) landing in the outermost ring. Dessert (optional and can only be completed after the other 2 courses) 1. Figure the probability of “Murphy’s Law” and make a case for whether or not it should indeed be a “law.” 2. Use a frequency table to chart the colors that your classmates wear for a week. Then, use the probability to predict how many students will wear a certain color on a given day. Experimental Design: Tiered Assignment Think Dots TARGET: I can explain the various stages in the experimental design process. Names: _________________ _______________________ Think Dots Activity You and your partner will take turns rolling your die and working through the corresponding activity. There is a task for each of you after each roll. Record your work and answers on the next page. If you repeat a number, the next person rolls. Keep taking turns rolling until all six activities are completed. RECALL You: Write the formula for a geometric sequence and tell what each variable represents. Partner: Write the formula for the permutation of n things taken r at a time. EVALUATE COMPREHEND You: Explain why a “zeroeth” or “0th” row is needed in Pascal’s Triangle. Partner: Explain the difference between arithmetic and You: Calculate the 5th row of Pascal’s Triangle. Partner: Use the 5th row to find the 4th term in the expansion of (2a + 3b)5 geometric sequences. APPLY You: Describe a situation that would involve using a permutation. Partner: Describe a situation that would involve using a combination. ANALYZE You: Decide and explain whether you agree with this statement: “Math Induction proofs are like playing dominoes…each one knocks down the next as it falls.” Partner: Why do you think the 1st step of math induction involves “Assume”? CREATE You: Write 2 probability reallife problems—one involving independent events & one about mutually exclusive events. Partner: Solve your partner’s problems. V. Thomasma, Kentwood Think Dots Record Page Record your work and answers to the activity here. For each exercise, write your initials to indicate who began and who ended each box. 4. APPLY “You”: _____ Permutation situation: ______________________________________________________________________________ 1. RECALL “You”: _____ Geometric Sequence formula: _________________________ Variable What it represents ______________________________________________________________________________ “Partner”: _____ Combination situation: an ______________________________________________________________________________ a1 ______________________________________________________________________________ r 5. ANALYZE n “Partner”: _____ Permutation of n things taken r at a time: ______________________ “You”: _____ “Math Induction proofs are like playing dominoes…each one knocks down the next as it falls.” Agree OR Disagree? 2. COMPREHEND ______________________________________________________________________________ “You”: _____ Why a “zeroeth” row? ______________________________________________________________________________ ______________________________________________________________________________ “Partner”: _____ What I think about the “Assume” step: ______________________________________________________________________________ ______________________________________________________________________________ “Partner”: _____ Arithmetic vs. Geometric Sequences ______________________________________________________________________________ ______________________________________________________________________________ 6. CREATE ______________________________________________________________________________ “You”: _____ Problem with independent events: Problem with mutually exclusive events: _______________________________ _______________________________ _______________________________ _______________________________ _______________________________ _______________________________ 3. EVALUATE “You”: _____ Pascal’s 5th row (show work here): _______________________________ “Partner”: _____ 4th term in the expansion of (2a + 3b)5 (show work here): _______________________________ “Partner”: _____ Problems solved: V. Thomasma, Kentwood Show-And-Tell Boards All students have the same TASK, but have a choice of SHOW AND TELL. Top row – what they could show Bottom row – what they could tell Need 1 SHOW & 1 TELL TARGET: I can write in a technical format. TASK: Write a set of directions for a household task or school activity. SHOW Animoto Diagram or Flow Chart How-to Brochure TELL Use topic headings and paragraphs Use Write detailed detailed numbered sentences or bulleted steps TARGET: I can describe events that occurred during the civil rights movement TASK: Describe a significant event that occurred during the civil rights movement. SHOW Charts and graphs Timeline of incidents related to the event Illustrations, photographs, graphics, or artifacts TELL Newspaper article Video news Podcast interview using the Flip Camera Graphing: Cubes (novelty) TARGET: I can solve a problem in a variety of ways. Name ________________ Graph the related function. Identify the x-intercepts. Class ________________ y Equation _______________ x Solve the equation by completing the square. Solve the equation by factoring. Solve the equation using the quadratic formula. State the discriminant of the equation and the number of solutions. Each student will be given a problem to solve in a variety ways based on his or her performance on a pre-assessment instrument. The level one problem is the easiest among the group while the level five problem is the most challenging. (1) Level One: x 2 2 x 8 0 Which method is most direct in finding the solution to the equation? Why? (2) Level Two: 9 x 2 30 x 25 0 (3) Level Three: x 2 6 x 1 (4) Level Four: 2 x 2 3x 2 0 (5) Level Five: 5 x 2 8 x 1 Ancient Civilizations: Cubing (Multiple Intelligences) Learning Goals: Students will – Know: The geographic, political, economic, religious, cultural, and social structures of an ancient civilization. Understand: Our understanding of why civilizations dominate or decline can be expanded by studying the people and events of ancient civilization. Do: I can create a product that demonstrates an understanding of aspects of ancient civilizations. Ancient Civilizations Topic Cube Describe the type of government or leadership that was present. Roll the topic cube to determine the topic that will be explored. Roll the product cube to determine how understanding of the topic will be represented. Describe the economy Describe some of the main cultural activities. Identify the location of the civilization and describe the connections between the geography and development of the civilization. Describe the social system. Describe the traditions and beliefs. Ancient Civilizations Product Cube Brochure Prezi Talk Show Roll the topic cube to determine the topic that will be explored. Wordle Roll the product cube to determine how understanding of the topic will be represented. Advice Column Public Service Announcement using Podcast Fahrenheit 451: RAFT TARGET: •I can identify specific characteristics of a character. •I can write with the voice of a character. •I can find evidence to support my perspective and include it in my letter. •I can correctly address an envelope. RAFT: Censorship Letter Directions: Select a role from the left hand side of the table. Then complete the task found in the next three columns. The letter must be completed in the correct business letter format. Also a correctly addressed envelope will be completed. ROLE Guy Montag Mechanical Dog AUDIENCE The citizens of the Fahrenheit 451 society. Sent to the editor of local newspaper. Captain Beatty Mildred Montag Captain Beatty Letter Captain Beatty Town Mayor Letter Professor Faber Guy Montag Letter Captain Beatty Letter Mrs. Phelps FORMAT Letter TOPIC Why I am rising up against the rules. How censorship has affected me. Letter How Guy Montag is breaking the rules. Why censorship is important to the Fahrenheit 451 society. Turning in her husband for collecting books and breaking the censorship laws of the Fahrenheit 451 society. Reassure the mayor Beatty is doing his job as the chief and reporting there is a major violation of the censorship laws. Reinforcing the importance of his mission. Why fighting the censorship is vital to their success. Turning in Montag for collecting books in his house. Why they need to continue enforcing the censorship. Heather L. McKinney-Rewa, E. GR. Solve absolute value equations and inequalities and justify steps in the solution: RAFT TARGET: I can… •Solve absolute value equations. •Explain the steps in solving absolute value equations. •Identify “no solution” scenarios. •Identify extraneous solutions. •Solve absolute value inequalities. •Explain the steps in solving absolute value inequalities. •Tell if an absolute value inequality is always, sometimes, or never true. Directions: You may work individually or with a partner. You will choose one row and write about the topic in the corresponding role and format and to the appropriate audience. It is preferred that this assignment be typed in 12 pt font with double spacing. You will be graded on content. Be sure that you cover everything about your topic and provide several examples. Role Audience Format Extraneous solutions Algebra police Confession Reporter Algebra students News story Teacher Parents Pamphlet Algebra student Self Diary entry Topic What we do that breaks the rules How to tell if your inequality is always, sometimes, or never true How to help your son/daughter solve absolute value equations It’s so complicated to solve absolute value inequalities! (List specifics.) Choices involving Learning Profile What is your preferred Learning Profile? Write Draw Act Sing Build http://www.niehs.nih.gov/kids/music.htm#index You have just attended a stimulating workshop on differentiated instruction and you feel motivated to let the world know more about differentiated instruction. Your “world” might be a group of students, parents, fellow teachers, and/or the general public. You will join a group of workshop participants who are as motivated as you are and share your excitement about differentiate instruction to spread the news about this teaching and learning philosophy! Differentiation “Profiler” TARGET: I can explain key elements of differentiated instruction. Differentiation “Musician” Your mission is to write and perform a song (any style of music) about the experience of observing in a classroom which is focused on developing units and using strategies that help to differentiated instruction. You can make up a new tune or write new lyrics that fit with an existing melody. You should have at least one verse about each of the FOUR elements that should be the focus of a differentiated classroom. Include a chorus about the goal of differentiated instruction. Make it personal and fun. Differentiation “Writers” Your task is to write an article for USA Today telling the public how differentiated instruction helps teacher to meet the needs of diverse learners in their classrooms. You should minimally include the following information: How students differ as learners. How student learning differences affect how students learn. Evidence you have that explains that students work harder when what they are asked to do connect to something they are interested in doing and/or connects to their learning profile. Identify classroom techniques/strategies that support the achievement of students who have different readiness levels, different interests and/or different learning profiles. Differentiation “Builders” Your group has been commissioned to build a model of a differentiated classroom for a local museum featuring best practices in education. Your model must accurately reflect the FOUR elements of differentiated instruction in a classroom where these elements are being practiced. You must be able to explain your model to museum officials. Differentiation “Actors” Your job is to create and perform an episode of a children's or teenager’s television program. This episode should be all about differentiated instruction. Be sure to include the following information: What is differentiated instruction. What it is like being in a classroom where differentiated instruction is practiced. How you (the student) will benefit from being in a classroom where differentiated instruction is practiced. Differentiation “Artists” Create a poster – or series of posters – that clearly illustrates the key points of what it means to differentiate instruction. Your poster(s) will be designed for those who are unable to read, so it/they must communicate clearly through pictures and graphics, and should not rely heavily on captions. Your posters should depict the three sets of FOUR elements of differentiated instruction. Poster paper, markers and other materials are available; let your instructor know what else you need. http://tinyurl.com/KenowaHillsDIF