Algebra Brain Teasers Worksheets
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Circuit of Computer Science Unplugged Activities Based on the Life of Ada Lovelace
Circuit of Computer Science Unplugged activities based on the life of Ada Lovelace 1st Given Name Surname 2nd Given Name Surname 3rd Given Name Surname dept. name of organization (of Aff.) dept. name of organization (of Aff.) dept. name of organization (of Aff.) name of organization (of Aff.) name of organization (of Aff.) name of organization (of Aff.) City, Country City, Country City, Country email address email address email address Abstract—Ada Lovelace’s life is a source of inspiration for defining what are the highest priority tasks and iv) create women and men of all ages, for being a bright-minded and algorithms to solve them. visionary person. His greatest achievement was to have written Unplugged computing occurs through playful activities, the first computer program in history. This article presents a methodological proposal for didactic use of a children’s book group dynamics, and material elaboration. Bell et al. (2015) about Ada Lovelace by proposing a circuit of unplugged activities have been concerned with solving issues that can arise as soon in order to refine the computational thinking (CT) in children and as we are introduced to computing: how do computers work adolescents. This methodology was applied in a workshop during and what do computers solve? The book of such authors, titled the BLIND in the BLIND Conference. A quali-quantitative “CS unplugged: Computer Science without a Computer”, has analysis performed with participants indicates the suitability of the proposed methodology. many activities that can be reproduced with children in an easy Index Terms—computational thinking, cs unplugged, stem, and intuitive way. -
IPG Spring 2020 Games Titles - December 2019 Page 1
Games Titles Spring 2020 {IPG} A Puzzle a Day A Collection of Mathematical Problems for Every Day of the School Year Vivian Lucas Summary Although primarily written for pupils ged 11-16, these puzzles do not require a high level of syllabus knowledge, making them accessible to a wide range of ages and abilities.Two levels of difficulty are provided for each entry. There are 180 puzzles, offering two similar ones on each of a wide variety of topics. They can Tarquin Group be used as a daily displayed competition for pupils to enter and a winner can be picked from the days entries. 9781899618521 Pub Date: 3/1/02 It helps to increase interest, to reinforce mathematical vocabulary and of course the puzzles are fun to do. $11.95 USD Complete with answers. Discount Code: LON Trade Paperback Contributor Bio 95 Pages Vivian Lucas is a former head of Mathematics at a school in Derby, UK. Her creative books have been used by Carton Qty: 0 tens of thousands of teachers worldwide in millions of lessons. Education / Teaching Methods & Materials EDU029010 5.5 in H | 5.5 in W Mathematical Snacks A Collection of Interesting Ideas to Fill Those Spare Moments Jon Millington Summary A collection of interesting topics and ideas to fill spare moments... 45 topics and mathematical ideas for the classroom or home, which are quick to introduce and set up but also genuinely stimulating and enriching. Although primarily designed to fill spare moments in normal lessons, they enliven clubs, quizzes and end of Tarquin Group term activities. -
By Prof. Mcgonagall Solution to STEPS TOLD: the Grid with The
By Prof. McGonagall weeks belong to a set, such that their an- swers form this meta. Those answers are Solution to STEPS TOLD: reproduced below for your convenience. Thegridwiththewhiteandblackcircles Especially now, without a title or flavor- (ignoring the letters for now) is the Nikoli text to give outright hints, it is important logic puzzle ‘‘Masyu’’. Solving that puzzle to keep in mind Rule 9: Always be on the yieldsapaththroughthegrid. Takingeach lookout for themes and patterns. Para- letteralongthatpathspellstheinstruction graph breaks in a block of text, repeated ‘‘MAKE A CRYPTIC CLUE BY USING THE words or letters, apparent typos or non- REMAINING LETTERS IN ORDER’’. standard word selections -- these all can When read left to right, top to bottom, point to clues. Keep your eyes open, and the unused letters in the grid spell the investigate anything that looks unusual. phrase ‘‘SILLY SEATS RING RED PEERS’’. Enjoy your last day of class, and as This is read as a cryptic crossword clue: always, if you think you have the answer, the definition is ‘‘peers’’, and the wordplay submit it on our website below. tells you to mix up the letters of ‘‘seats’’ We’ll see some of you this Sunday at and place them around the letter ‘R’ (for the Berkeley Mystery Hunt! red). This results in the answer, STARES. The title is another wordplay clue to the METAPUZZLE same answer -- ‘‘told’’ indicates a homo- phone of ‘‘stairs’’, a synonym of ‘‘steps’’. DOTING Congratulations to Jevon Heath and REDUB Melinda Fricke, who first submitted the COLORED correct answer to this puzzle. ONES STARTING This now brings us to the metapuz- REDSTAR zle, a new puzzle consisting solely of the COSTARRED answers to all previous puzzles. -
History and Current State of Recreational Mathematics and Its Relation to Serious Mathematics
Charles University in Prague Faculty of Mathematics and Physics DOCTORAL THESIS Tereza B´artlov´a History and current state of recreational mathematics and its relation to serious mathematics Department of Mathematical Analysis Supervisor of the doctoral thesis: prof. RNDr. LuboˇsPick, CSc., DSc. Study programme: Mathematics Study branch: General Questions of Mathematics and Information Science Prague 2016 I declare that I carried out this doctoral thesis independently, and only with the cited sources, literature and other professional sources. I understand that my work relates to the rights and obligations under the Act No. 121/2000 Sb., the Copyright Act, as amended, in particular the fact that the Charles University in Prague has the right to conclude a license agreement on the use of this work as a school work pursuant to Section 60 subsection 1 of the Copyright Act. In Prague on June 28, 2016 Tereza B´artlov´a i Title: History and current state of recreational mathematics and its relation to serious mathematics Author: Tereza B´artlov´a Department: Department of Mathematical Analysis Supervisor: prof. RNDr. LuboˇsPick, CSc., DSc., Department of Mathematical Analysis Abstract: The present thesis is devoted to the study of recreational mathematics, with a particular emphasis on its history, its relation to serious mathematics and its educational benefits. The thesis consists of five papers. In the first one we investigate the history of recreational mathematics. We focus on the development of mathematical problems throughout history, and we try to point out the people who had an important influence on the progress of recreational mathematics. The second article is dedicated to Edwin Abbott Abbott and his book called Flatland. -
Metrics for Better Puzzles 1 Introduction
Metrics for Better Puzzles Cameron Browne Computational Creativity Group Imperial College London [email protected] Abstract. While most chapters of this book deal with run-time telemetry observed from user data, we turn now to a different type of metric, namely design-time metrics for level generation. We describe Hour Maze, a new type of pure deduction puzzle, and outline methods for the automated generation and solution of lev- els. Solution involves a deductive search that estimates a level’s iterative and strategic depth. This information, together with sym- metry analysis of wall and hint distributions, provides useful met- rics with which levels may be classified and described. Results from a user survey indicate that players’ enjoyment of computer- designed levels may be affected by their perception of whether those levels are indeed computer-designed or handcrafted by hu- mans. We suggest ways in which puzzle metrics may be used to increase the perception of intelligence and personality behind level designs, to make them more interesting for players. Keywords. Logic puzzle; Hour Maze; Nikoli; deductive search; quality metrics; procedural content generation. 1 Introduction The current crop of smart phones and handheld game devices are the ideal plat- form for logic puzzles, which are enjoying a surge in popularity due to the main- stream success of titles such as Sudoku and Kakuro. Such puzzles can be played easily on small screens without losing any of their appeal, and can provide a deep, engaging playing experience while being conveniently short and self-contained. Fig. 1 shows a new logic puzzle called Hour Maze currently under develop- ment for iOS devices. -
For the Low Achiever Student Inmathematics
DOCUMZNT RESUME ED 025 437 By-Zimmerman, Joseph Central Iowa Low Achiever MathematicsProject ESP. Central Iowa Low-Achiever MathematicsProject, Des Moines. Elementary and Secondary Education. Spons Agency-Office of Education(DHEW), Washington, D.C. Bureau of Pub Date (Nov 68] Grant- OEG- 3965 Note- 64p EDRS Price MF-$0.50 HC-$3.30 *Instructional Materials, Descriptors-Curriculum, Curriculum Development,*Elementary School Mathematics, *Low Achievers, *Mathematics,*Problem Solving. SecondarySchool Mathematics Identifiers-Central Iowa Low AchieverMathematics Project The materials in this EnrichmentStudent Project (ESP) aredesigned especially for the low achiever student inmathematics. The booklet is aselfontained unit consisting of fourelements--a mathematicalpuzzle, a set of instructions,response sheets, and a suitable containerfor keeping the unittogether. ESP is amotivational the student's interest andpromoting hisinvolvement in a idea aimed at attracting been collected portion of mathematicsthat can be enjoyed. Thematerials which have for this ESP, complete with solutionof problems for the teacher'sconvenience involve prepared under ESEATitle peg, dissection,cube, and topologypuzzles. This work was III contract. (RP) Central Iowa LowAchiever Mathematics Project U.S. DEPARTMENT Of HEALTH, EDUCATION & WELFARE OFFICE Of EDUCATION THIS DOCUMENT HAS BEEN REPRODUCED EXACTLY AS RECEIVED FROM THE ED025437 PERSON OR ORGANIZATION ORIGINATING II.POINTS OF VIEW OR OPINIONS STATED DO NOT NECESSARILY REPRESENT OFFICIAL OFFICE OF EDUCATION POSITION OR POLICY. The work presented or rennrted herein was performed our, suant to a Grant, OE No. 3969, from the U.S. Office of Educe. tion, Deprirtment of Hei Ith. Ed,initi-n, and Welfare.However, the opinions exnrer,sed hrTiin do not necesssrily reflect the positionorpolicy of the U.S. -
Grade 7 & 8 Math Circles Logic Puzzles Introduction Strategies
Faculty of Mathematics Waterloo, Ontario N2L 3G1 Grade 7 & 8 Math Circles October 29/30, 2013 Logic Puzzles Introduction Mathematics isn't at all about memorizing formulas or doing procedures over and over. It's all about thinking logically, finding patterns and connections, and solving problems. A logic puzzle is a problem, challenge, or game that requires the player to use forms of critical thinking to arrive at a solution. Strategies Some tips to keep in mind when solving logic puzzles: • Read and reread the problem until you fully understand it and its goals. • Organize your information in a chart or diagram to focus only on relevant points. • Use logical reasoning to eliminate options. • Tackle simpler sub problems, but keep the big picture in mind. • List out all of the possibilities if you can, and use \guess and check". • Take it one step at a time. • Use a puzzle's rules and guidelines to double-check your work. • Be persistent. If you become stuck, remember that these problems are meant to be fun! The most important thing to remember when working on logic puzzles is that they are logical; every step has to make sense and be verifiable. 1 Sudoku The goal when filling out a sudoku is to enter a number from 1 to 9 in each box of the puzzle. Each row, column, and outlined 3 × 3 region must contain each number only once. Example I 2D-Sudoku Fill every row, columns, and shaded diagonal with the numbers from 1 to 5. Example II 2 Minesweeper Draw a mine in some cells of the grid. -
MAA Rocky Mountain Section Meeting
e Mathematical Association of America Rocky Mountain Section Meeting April Ôâ and ÔÞ, òýÔý Colorado State University Fort Collins, CO Rocky Mountain Section Meeting Annual Book Sale April 16 & 17, 2010 All listed titles available for shipment, free shipping & handling. A full catalog and order form for shipped orders is included on the middle pages of this booklet for your convenience. Over 100 titles available (in limited quantities) for immediate purchase at our display. All catalog prices have been discounted 10% below membership prices, and 10% of book proceeds will be returned to the section – enlarge your book collection while benefiting the section today! To place an order, visit us in the Cherokee Park Ballroom. Discount prices available to all meeting participants; prices good only on orders placed at the meeting. All order forms must be returned to a display staff member for processing!! Payment by check, Visa or MasterCard accepted (sorry - no cash sales). Please make checks payable to: MAA Rocky Mountain Section. MATHEMATICAL ASSOCIATION OF AMERICA ò Schedule Friday, April Ôâ :ýý-Ôò:ýý Section NExT workshop (Virginia Dale) À:çý-ÔÔ:çý Workshop: Proposal writing for the NSF DUE (Lory òÔÞ) Stephanie Fitchett, NSF and University of Northern Colorado ÔÔ:¥ -Ôò:¥ Luncheon for Dept. Chairs and MAA Liaisons (Lory òçý) ÔÔ:ýý-¥:çý Registration (Lory òòÞ) Ô:ýý-Ô:Ôý Opening Remarks and Welcome (North Ballroom) Ô:Ôý-Ô: Burton W. Jones Teaching Award Lecture (North Ballroom) Richard Grassl, University of Northern Colorado Ô:ýý- :çý Publisher -
A Simple Solution to the Hardest Logic Puzzle Ever 105 11 Potts, C
a simple solution to the hardest logic puzzle ever 105 11 Potts, C. 2005. The Logic of Conventional Implicatures. Oxford: Oxford University Press. Searle, J. R. and D. Vanderveken. 1985. Foundations of Illocutionary Logic. Cam- bridge: Cambridge University Press. Zwicky, A. M. 1974. Hey, Whatsyourname! In Papers from the Tenth Regional Meeting, Chicago Linguistic Society, ed. M. W. LaGaly, R. A. Fox and A. Bruck. Chicago: Chicago Linguistic Society. A simple solution to the hardest logic puzzle ever Brian Rabern & Landon Rabern We present the simplest solution ever to ‘the hardest logic puzzle ever’. We then modify the puzzle to make it even harder and give a simple solution to the modified puzzle. The final sections investigate exploding god-heads and a two-question solution to the original puzzle. 1. The simplest solution to the ‘hard’ puzzle The puzzle. Three gods A, B, and C are called, in some order, ‘True’, ‘False’, and ‘Random’. True always speaks truly, False always speaks falsely, but whether Random speaks truly or falsely is a completely random matter. Your task is to determine the identities of A, B, and C by asking three yes-no questions; each question must be put to exactly one god. The gods understand English, but will answer all questions in their own lan- guage, in which the words for ‘yes’ and ‘no’ are ‘da’ and ‘ja’, in some order. You do not know which word means which.1 1 Boolos 1996: 62. The so-called ‘hardest logic puzzle ever’ is coined as such by George Boolos. Boolos credits the logician Raymond Smullyan as the originator of the puzzle and the computer scientist John McCarthy with adding the difficulty of not knowing what ‘da’ and ‘ja’ mean. -
Martin Gardner Papers SC0647
http://oac.cdlib.org/findaid/ark:/13030/kt6s20356s No online items Guide to the Martin Gardner Papers SC0647 Daniel Hartwig & Jenny Johnson Department of Special Collections and University Archives October 2008 Green Library 557 Escondido Mall Stanford 94305-6064 [email protected] URL: http://library.stanford.edu/spc Note This encoded finding aid is compliant with Stanford EAD Best Practice Guidelines, Version 1.0. Guide to the Martin Gardner SC064712473 1 Papers SC0647 Language of Material: English Contributing Institution: Department of Special Collections and University Archives Title: Martin Gardner papers Creator: Gardner, Martin Identifier/Call Number: SC0647 Identifier/Call Number: 12473 Physical Description: 63.5 Linear Feet Date (inclusive): 1957-1997 Abstract: These papers pertain to his interest in mathematics and consist of files relating to his SCIENTIFIC AMERICAN mathematical games column (1957-1986) and subject files on recreational mathematics. Papers include correspondence, notes, clippings, and articles, with some examples of puzzle toys. Correspondents include Dmitri A. Borgmann, John H. Conway, H. S. M Coxeter, Persi Diaconis, Solomon W Golomb, Richard K.Guy, David A. Klarner, Donald Ervin Knuth, Harry Lindgren, Doris Schattschneider, Jerry Slocum, Charles W.Trigg, Stanislaw M. Ulam, and Samuel Yates. Immediate Source of Acquisition note Gift of Martin Gardner, 2002. Information about Access This collection is open for research. Ownership & Copyright All requests to reproduce, publish, quote from, or otherwise use collection materials must be submitted in writing to the Head of Special Collections and University Archives, Stanford University Libraries, Stanford, California 94304-6064. Consent is given on behalf of Special Collections as the owner of the physical items and is not intended to include or imply permission from the copyright owner. -
1970-2012 TOPIC INDEX for the College Mathematics Journal (Including the Two Year College Mathematics Journal)
1970-2012 TOPIC INDEX for The College Mathematics Journal (including the Two Year College Mathematics Journal) prepared by Donald E. Hooley Mathematics Department Bluffton University, Bluffton, Ohio Each item in this index is listed under the topics for which it might be used in the classroom or for enrichment after the topic has been presented. Within each topic entries are listed in chronological order of publication. Each entry is given in the form: Title, author, volume:issue, year, page range, [C or F], [other topic cross-listings] where C indicates a classroom capsule or short note and F indicates a Fallacies, Flaws and Flimflam note. If there is nothing in this position the entry refers to an article unless it is a book review. The topic headings in this index are numbered and grouped as follows: 0 Precalculus Mathematics (also see 9) 0.1 Arithmetic (also see 9.3) 0.2 Algebra 0.3 Synthetic geometry 0.4 Analytic geometry 0.5 Conic sections 0.6 Trigonometry (also see 5.3) 0.7 Elementary theory of equations 0.8 Business mathematics 0.9 Techniques of proof (including mathematical induction 0.10 Software for precalculus mathematics 1 Mathematics Education 1.1 Teaching techniques and research reports 1.2 Courses and programs 2 History of Mathematics 2.1 History of mathematics before 1400 2.2 History of mathematics after 1400 2.3 Interviews 3 Discrete Mathematics 3.1 Graph theory 3.2 Combinatorics 3.3 Other topics in discrete mathematics (also see 6.3) 3.4 Software for discrete mathematics 4 Linear Algebra 4.1 Matrices, systems of linear -
C-Space Tunnel Discovery for Puzzle Path Planning
C-Space Tunnel Discovery for Puzzle Path Planning XINYA ZHANG, The University of Texas at Austin ROBERT BELFER, McGill University PAUL G. KRY, McGill University ETIENNE VOUGA, The University of Texas at Austin Fig. 1. Puzzles we solve using our approach, roughly ordered by difficulty from left to right. Top row: alpha, alpha-z, alpha-j, alpha-g, double-alpha, claw, and enigma. Bottom row: duet (with 4 different grid sizes), Mobius, ABC, and Key. All but the alpha variants are Hanayama puzzles. Rigid body disentanglement puzzles are challenging for both humans and 1 INTRODUCTION motion planning algorithms because their solutions involve tricky twisting The Piano Mover’s Problem asks whether one can move a piano and sliding moves that correspond to navigating through narrow tunnels in between rooms through a sequence of rigid-body motions. This the puzzle’s configuration space (C-space). We propose a tunnel-discovery problem has inspired a great deal of work in computational geometry and planning strategy for solving these puzzles. First, we locate important features on the pieces using geometric heuristics and machine learning, and and robotics because it has a vast number of practical applications, then match pairs of these features to discover collision free states in the from collision-free navigation in automated warehouses, to path puzzle’s C-space that lie within the narrow tunnels. Second, we propose planning in pharmaceutical drug design. Rigid disentanglement a Rapidly-exploring Dense Tree (RDT) motion planner variant that builds puzzles are an interesting variant of the problem because they are tunnel escape roadmaps and then connects these roadmaps into a solution specifically designed to be difficult to take apart: they are notoriously path connecting start and goal states.