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Is Computational Thinking a 21st Century Skill? Joe Kmoch Milwaukee Public Schools joe@jkmoch.com 5/3/2011 1
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Roadmap What is computational thinking What does it look like? Some essential concepts (Computing and the 3 “A”s) Why CT and K-12 students CT is everywhere Time for you to get involved Next steps 2
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My Goals Make the case that –The principles of CT are applicable to many subjects areas. –CT is very much ingrained in critical 21 st Century Skills –CT is a mechanism to handle larger, more complex problems that are by their nature cross-curricular (ie real world) 3
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What is Computational Thinking (CT)? Application of Computer Science (CS) concepts to problems in virtually all disciplines Use of computational resources such as tools, techniques along with data to solve complex problems Strong supports for the 4 essential 21st Century Skills ( communication, collaboration, critical thinking and ps, creativity and innovation ) Encourages broad-based thinking about cross-curricular problems 4
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What does it Look Like? Some Examples of Computational Thinking (Jeannette Wing, CMU) CT is reformulating a seemingly difficult problem into one which we know how to solve (reduction, embedding, transformation, simulation) CT is using abstraction and decomposition in tackling a large complex task CT is judging a system’s design for its simplicity and elegance CT is judging a problem solution for its simplicity and elegance CT is prevention, detection and recovery from worst case scenarios through redundancy, damage containment and error correction CT is modularizing something in anticipation of multiple users 5
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Simple Daily Examples (Jeannette Wing, CMU) Looking up a name in an alphabetically sorted list –Linear – start at the top –Binary – start in the middle Standing in line at a bank –Performance analysis of task scheduling Putting things in your child’s knapsack for the day –Pre-fetching and caching 6
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...and more Taking your kids to their various activities –Traveling salesperson problems – graph theory Cooking a gourmet meal (actually most any meal) –Parallel processing Storing away your child’s Lego pieces scattered in the floor –Using hashing (eg, by shape, by color) Doing laundry, getting food at a buffet –Pipelining the wash, dry and iron stages; plates, salad, entrée, dessert stations 7
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...and one more Even in grade school we learn algorithms (long division, factoring, GCD,...) and abstract data types (sets, tables,...) 8
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Some Essential Concepts: The Computing part of CT Computing is fundamentally concerned with two phenomena: data and processes – these are everywhere 9
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Data Anything that can be observed or imagined in the physical or logical worlds: numbers, images, songs, positions of planets, subway maps, medical records 10
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Process A sequence of actions: setting up a coffee maker starts with getting out the filter, placing it in the basket, putting grounds in the basket, filling the reservoir with water 11
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Abstraction – the first “A” of CT Technique of generalizing from specific instances (process and data) Capture essential common characteristics while discarding unessential characteristics Operate simultaneously at multiple layers and define relationships between layers 12
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Abstractions example Cooking a meal At the highest level we might have the list of courses that make up the meal –Appetizer(s) –Soup/salad –Entree –Dessert And probably an order in which to work on them (project timeline) 13
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Cooking a Meal Abstraction At the next level, we might have the details of the individual parts –The recipes, for example At the next level, we might have the details of how to do certain cooking actions –doing a reduction or –pureeing, or –rolling dough (All process abstractions) 14
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Example of data abstraction This Chicago transit map is a data abstraction; contains essential info like stations and transfer points, avoids details like exact street locations of stations or distances 15
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Process Abstractions of the mind Techniques For example: Divide and Conquer Abstraction of how to solve a problem, not actually a solution to any particular problem. Take a problem and divide it into several piece Solve or complete each piece Re-combine the pieces to solve original problem 16
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Automation – the 2 nd leg of CT Mechanizing our abstractions, abstraction layers and their relationships Agents –Can be a person or a computer –Can be a group of people or computers –Any combination of these 17
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Automation Agents Use each for what the agent can do well People –Interpret –Speed (in certain areas, eg understanding) Computers –Vast memory –Speed (in certain areas, eg searching) 18
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Analysis – 3 rd leg of CT Ensuring that abstractions (algorithms, programs, databases, systems of all sorts) are efficient and are correct Analysis includes –Algorithmic and performance analysis –Specification –Verification, debugging, testing, experimentation 19
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Academic definition of CT Computational Thinking involves solving problems, designing systems, and understanding human behavior, by drawing on the concepts fundamental to computer science (J. Wing, 2006) 20
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K-12 Operational Definition Created over several months by groups of educators and business professionals Supported by an NSF project proposed by and provided to ISTE and CSTA. On the ISTE and CSTA sites (handout) http://www.iste.org/standards/computati onal-thinking.aspx 21
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Why CT for K-12 students? Students need to acquire thinking habits of computer scientists, because –they are widely applicable in the information society in which these students live and –work regardless of their eventual profession 22
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CT and K-12 K-12 th graders should be introduced to computational thinking in order to set these fundamental thinking habits firmly in the minds of the next generation Recall the 3 As of CT –Abstraction, Automation, Analysis 23
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Implications for K-12 CT would likely Encourage further inclusion of high order thinking skills Encourage students to develop tools and techniques that will become more important for success 24
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More Implications for K-12 Is in step with the increased emphasis of technology in careers and in life Can help move more digital natives from being a consumer of technology to a creator of technology –Marc Prensky coined the terms digital natives and digital immigrants (nearly all are the latter) 25
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CT Concepts, Capabilities Data collection, analysis, representation Abstraction Analysis and model validation Automation Testing and verification Algorithms and procedures Problem Decomposition Control Structures Parallelization Simulation 26
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21 st Century Skills (Dispositions and Predispositions) Collaboration –Working with others toward common goal Communication (CT capabilities above) Critical Thinking & Problem Solving (CT capabilities above) Creativity and Innovation –Confidence with complexity, ambiguity –Persistence with difficult problems –Deal with open-ended problems 27
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What CT is not Does it mean we should all think like a computer? (NO) Does it mean that everyone should be a programmer? (NO) 28
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Characteristics of CT Thinking abstractly Thinking at multiple levels of abstraction Abstracting to manage complexity Abstracting to deal with scale Logical reasoning Emphasis on a holistic approach rather than on specific topics It involves data and processes 29
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CT is Everywhere For example, CT has… Been instrumental in many new discoveries such as DNA mapping, development of new materials, new formulations, new techniques 30
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Think… Computational Biology Computational Chemistry Computational Physics Computational Linguistics Computational Finance Computational Economics Computational … almost anything you can name. 31
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...more CT is everywhere Biology –DNA sequences are strings in a language –Protein structures modeled as knots Brain Science –Modeling the brain as a computer –Vision as a feedback loop –Analyzing MRI data with machine learning 32
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... And here Astronomy –KD-trees help astronomers analyze very large multi-dimensional datasets Mathematics –Four-color theorem proof Engineering –Boeing 777 tested via computer simulation alone 33
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... And here Economics –Automated mechanism design underlies electronic commerce (eg, ad placement) Social Sciences –Statistical machine learning used for recommendation and reputation services 34
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... Here, too Medicine –Robotic surgery –Scientific visualization (virtual colonoscopy) Entertainment –Games, movies –Huge computing farms to render movies Sports –Record and analyzing performance –Analyzing digital video of NBA games 35
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Audience Involvement Review the Computational Thinking within Disciplines Chart (pg 52 of article Bringing CT to K-12) Talk in 2-3 person groups about at least one lesson that you could modify in your class which would involve one or more of the CT Concepts or Capabilities on the left column of the chart ?? minutes then we’ll share 36
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ISTE/CSTA NSF Grant Develop K-12 definition of CT CS concepts highlighted Next step involves development of sample materials (lessons, units) which demonstrate CT in student lessons See Language Arts Gr 5 example 37
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Thank you Jeannette Wing, CMU and NSF Pat Phillips, Janesville Craig HS and Microsoft Carolyn Sykora, ISTE Many friends at the CT Thought Leaders workshop in May, 2010 and the curriculum workshop in November, 2010 38
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Resources My CT wiki: http://computationalthinking.pbworks.com/ Lots of stuff collected, more to come...email me about the WI CS and IT mailing list... Joe Kmoch joe@jkmoch.com 39
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