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مبادئ الرياضيات لتأهيل المعلمين

مبادئ الرياضيات لتأهيل المعلمين

  • سنة النشر: 01 Jan 1970.
  • عدد مرات التحميل: 502882 مرّة / مرات.
  • تم نشره في: الإثنين , 14 ديسمبر 2015م.

وصف الكتاب:

لقد جاء كتاب "مبادئ الرياضيات لطلبة تأهيل المعلمين" في ثلاثة أجزاء عالج كل منها موضوعاً مستقلاً عن الكتاب الآخر، إلا أنه مرتبط بشكل أساسي بموضوع تأهيل المعلمين. جاء الجزء الأول تحت عنوان "اللغة الرياضية ومبادئ الرياضيات" وكما هو واضح من العنوان إن هذا الكتاب يهدف إلى تعريف بالمبادئ الأساسية في الرياضيات التي ترفع من المعرفة الرياضية لمعلمي المرحلة الأساسية وتقدم لهم تأهيلاً تربوياً يساعدهم في مهمتهم التعليمية يتكون هذا الجزء من سبع وحدات. تعالج الوحدة الأولى موضوع حل المسألة. أما الوحدة الثانية فتعالج موضوع المنطق الرياضي الذي يعتبر حجر الزاوية في البناء الرياضي. وتناولت الوحدة الثالثة موضوع المجموعات التي تمثل أولى المفردات اللغوية في الرياضيات، وكان البرهان الرياضي بأساليبه المتنوعة موضوع الوحدة الرابعة. أما الوحدة الخامسة فتناولت موضوع العلاقات بأنواعها المختلفة. أما الاقترانات فقد تمت معالجتها في الوحدة السادسة. وختم الكتاب بوحدة عن البناء الرياضي وخصائصه الأساسية. أما الكتاب الثاني فجاء بعنوان "بنية الأعداد"، وهو مكون من سبع وحدات، عالجت الأولى مجموعة الأعداد الطبيعية والتي تبنى باستخدام مسلمات بيانو، أما الوحدة الثانية فتعالج أنظمة الترقيم وذلك بهدف تعميق فهم العمليات الحسابية على الأعداد الطبيعية. وتناولت الوحدة الثالثة مجموعة الأعداد الصحيحية والتي تبنى من مجموعة الأعداد الطبيعية من خلال علاقة تكافؤ مناسبة. هذا وقد استخدم أسلوب مماثل لبناء مجموعة الأعداد النسبية في الوحدة الخاصة، أما الوحدة الرابعة فتناولت قابلية القسمة وبعض خواص الأعداد. أما مجموعة الأعداد الحقيقية فتمت معالجتها في الوحدة السادسة. وختم الكتاب بوحدة عن مجموعة الأعداد المركبة. أما الجزء الثالث والأخير والذي هو بعنوان مبادئ هندسية مخصص لشرح موضوعات الهندسة المختلفة وهدفه تقديم تأهيل تربوي يساعد المربيين في مهمتهم التعليمية وبشكل عام يتكون هذا الجزء من تسع وحدات تناولت الأولى من فهم "البناء الرياضي لهندسة إقليدس" ومسلمات هذا البناء، وعالجت الوحدة الثانية تطابق المثلثات، أما التشابه فكان موضوع الوحدة الثالثة، وخصصت الوحدة الرابعة لموضوع التكافؤ، أما الوحدة الخامسة فتناولت موضوع الدائرة وعالجت الوحدة السابعة متوازيات الاطلاع. أما الهندسة الفضائية فعولجت في الوحدة الثامنة واختتم الكتاب بوحدة عن التحويلات الهندسية من انسحاب وتمدد ودوران وانعكاس. هذا وقد تم تخصيص الوحدة السابعة لبعض التطبيقات العامة على الهندسة وبخاصة موضوع الإنشاءات الهندسية والحسابات الهندسية. لقد جاء أسلوب الكتاب بشكل عام مبسط، حيث تمّ توضيح المفاهيم والحقائق بالعديد من الأمثلة المتنوعة، هذا بالإضافة إلى إعطاء البراهين الرياضية للحقائق الأساسية الواردة في الكتاب كي يتعرف عليها الدارس عن قناعة وإثبات. ويعتبر البرهان الرياضي من أهم أهداف هذا الكتاب.

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MessagesTimelineExceptionsViews24RouteQueries49Models188MailsGateSessionRequest
7.4.33PHP Version293msRequest Duration6MBMemory UsageGET b-{book}Route
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        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:143
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      • select `categories`.*, `book_category`.`book_id` as `pivot_book_id`, `book_category`.`category_id` as `pivot_category_id` from `categories` inner join `book_category` on `categories`.`id` = `book_category`.`category_id` where `book_category`.`book_id` = 2340
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      • select `categories`.*, `book_category`.`book_id` as `pivot_book_id`, `book_category`.`category_id` as `pivot_category_id` from `categories` inner join `book_category` on `categories`.`id` = `book_category`.`category_id` where `book_category`.`book_id` = 3027
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        • 18. /app/Models/BaseModel.php:17
        • 20. view::guest.home.book:28
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
        • 23. /vendor/facade/ignition/src/Views/Engines/CompilerEngine.php:36
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:143
      • select distinct * from `categories`
        550μs/app/Http/View/Composers/LayoutComposer.php:18bookmart_bookmart
        Metadata
        Backtrace
        • 14. /app/Http/View/Composers/LayoutComposer.php:18
        • 16. /vendor/laravel/framework/src/Illuminate/Container/Container.php:843
        • 17. /vendor/laravel/framework/src/Illuminate/Container/Container.php:681
        • 18. /vendor/laravel/framework/src/Illuminate/Foundation/Application.php:785
        • 19. /vendor/laravel/framework/src/Illuminate/Container/Container.php:629
      • select * from `cms_contents` where (`locale` = 'ar' and `page` = 'general') limit 1
        460μs/vendor/laravel/framework/src/Illuminate/Support/Traits/ForwardsCalls.php:23bookmart_bookmart
        Metadata
        Bindings
        • 0. ar
        • 1. general
        Backtrace
        • 16. /vendor/laravel/framework/src/Illuminate/Support/Traits/ForwardsCalls.php:23
        • 19. /app/Content/Models/PagesRepository.php:48
        • 20. /app/Content/ContentProvider.php:45
        • 21. view::guest.layout.footer:1
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:59
      App\Content\Models\DataBaseModel
      1
      App\Models\Product
      11
      App\Models\Category
      143
      App\Models\Publisher
      11
      App\Models\Author
      11
      App\Models\Book
      11
          _token
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          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /b-11701
          status_code
          200
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          request_request
          []
          request_headers
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  "x-forwarded-for" => array:1 [▶
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  "user-agent" => array:1 [▶
    0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
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  "upgrade-insecure-requests" => array:1 [▶
    0 => "1"
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  "sec-ch-ua-platform" => array:1 [▶
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  "sec-ch-ua" => array:1 [▶
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  "SERVER_ADMIN" => "webmaster@bookmart.ae"
  "CONTEXT_DOCUMENT_ROOT" => "/home/bookmart/domains/bookmart.ae/private_html"
  "CONTEXT_PREFIX" => ""
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  "SERVER_SOFTWARE" => "Apache/2"
  "SERVER_SIGNATURE" => ""
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  "HTTP_SEC_CH_UA_MOBILE" => "?0"
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