Numberama: Recreational Number Theory In The School System

Games of Recreational Number Theory: Skill Levels Through Multiplication and Division

Author(s): Elliot Benjamin

Pp: 81-96 (16)

DOI: 10.2174/9781681085128117010008

* (Excluding Mailing and Handling)

Abstract

Chapter 3 consists of the games that require the skill levels through multiplication and division. These games consist of The Prime Number Game, The Perfect Number Game, The Semi-Perfect Number Game, The Powerful Number Game, The Divisor Game, The Sum of Squares Game, The Syracuse Algorithm Game, and The Fib-Tri-Prime Game. The games in Chapter 3 are in general appropriate for children in grades 4, 5, and 6, depending on their skills levels, inclusive of gifted children. The Perfect Number Game has been especially popular with children, in particular because of the stimulating open problems about perfect numbers in mathematics; i.e. are there infinitely many perfect numbers and does there exist an odd perfect number (see the Perfect Number problem section in Chapter 1). The games in Chapter 3 are excellent teaching devices to motivate children to practice their multiplication and division skills in an enjoyable way, in addition to enhancing their creative thinking capacities (see some of the teacher and teacher education Numberama workshop participant responses in Appendix).


Keywords: The divisor game, The Fib-Tri-Prime game, The perfect number game, The powerful number game, The prime number game, The semi-perfect number game, The sum of squares game, The syracuse algorithm game.

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      • 14. app/Http/Controllers/ChapterController.php:1549
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select b.banner_link, b.banner_name, b.banner_script, b.banner_remarks, b.banner_file_name, b.banner_placement, bd.content_type, bd.content_id from `tbl_banner` as `b` inner join `tbl_banner_detail` as `bd` on `bd`.`banner_id` = `b`.`banner_id` inner join `users` as `u` on `u`.`id` = `b`.`updated_by` where `b`.`banner_ebook` = 1 and `bd`.`content_type` = 'B' and `bd`.`content_id` = 2236 and `b`.`banner_from_date` <= 1740527754 and `b`.`banner_to_date` >= 1740527754 and `b`.`banner_status` = 'A' order by `b`.`banner_id` desc
      1.04msalphaeurekaselec_live_10_06_2022Banner.php#95
      Bindings
      • 0: 1
      • 1: B
      • 2: 2236
      • 3: 1740527754
      • 4: 1740527754
      • 5: A
      Backtrace
      • 13. app/Models/Banner.php:95
      • 14. app/Http/helpers.php:404
      • 17. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 18. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    • select count(*) as aggregate from `uc_cart_products` where cart_id='918d5af4345e452e7af465f1ad560cb7'
      160μsalphaeurekaselec_live_10_06_2022Cart.php#271
      Backtrace
      • 15. app/Models/Cart.php:271
      • 16. view::layouts._header:260
      • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    App\Models\Keywords
    8Keywords.php#?
    App\Models\Chapter
    1Chapter.php#?
    App\Models\Ebook
    1Ebook.php#?
        _token
        dc89gYPaa2LbOuYmUre7YfSSoMNeEkvq9eCsrkIG
        uc_cart_id
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        _previous
        array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/10534" ]
        _flash
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        PHPDEBUGBAR_STACK_DATA
        []
        path_info
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        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
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        request_cookies
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        array:1 [ "wayfindertarget" => null ]
        response_headers
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        ClearShow all
        Date ↕MethodURLData
        #12025-02-25 23:55:54GET/chapter/105341121810