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المعادلات والمتباينات والمقادير الجبرية
Conditions of Use:
قراءة النص المطبوع بخط رفيع
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يدور هذا الدرس حول محاولة جعل الطلاب يقيمون روابط بين الأفكار عن المعادلات والمتباينات والمقادير الجبرية. علماً بأن الدرس مصمم ليمنح الطلاب فرص استخدام المفردات الرياضية لغرض الوصف والمناقشة والعمل مع سلاسل الرموز هذه. وتهدف الفكرة إلى بدء الطلاب في تحصيل المعلومة الشاملة بالنظر إلى كامل سلسلة الأعداد بدلاً من التفكير فقط في إجراءات أو خطوات فردية. ومن المأمول أن يبدأ الطلاب في رؤية سلاسل الرموز كأغراض رياضية لها مجموعتها الفريدة من الصفات الخاصة بها. (رياضيات الصف السابع)

الموضوع:
علم الجبر
الأعداد والعمليات الحسابية
نوع المادة:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
في قلب الرياضيات
المؤلف:
Disston, Jacob
Date Added:
11/30/2011
فن التقريب في العلوم والهندسة: كيفية استخراج إجابات بسرعة
Conditions of Use:
يمكن إعادة ترتيب المحتوى ومشاركته
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ان الغرض من هذا الفيديو التعليمي هو إظهار الطلاب لكيفية التفكير بحرية أكبر حول مشاكل الرياضيات والعلوم. ان الحصول في بعض الأحيان على إجابة تقريبية في فترة أقصرهو أمر يستحق الوقت الموفر. يستكشف هذا الفيديو تقنيات لصنع خلفيات تقريبية سريعة للمغلف الذي ليس فقط مستغرب من جهة الدقة، ولكنه أيضا منيرا لبناء الحدس في فهم العلم. يقترب هذا الفيديو من مستوى الصف العاشرالخاص بالجبر 1 ومن مستوى الفيزياء للعام الأول الثانوي، ولكن المفاهيم المتضمنة به (السرعة، المسافة، الكتلة، إلخ) هي أساسية بما يكفي لأن يستوعبها طلاب العلوم الأصغر سنا. إذا رغبت، بامكان المدرسين جلب بندول الساعة من مختلف الأطوال , الأوزان لتعليقه, و ساعة وقت لقياس الفترة. تتضمن الأمثلة على التمارين التي تمارس في الفصل فيما بين مقاطع الفيديو: سؤال الطلاب لتقدير 29 × 31 دون آلة حاسبة أو ورقة وقلم رصاص؛ وسؤال الطلاب عن ما مدى امكانية وصولهم الى الثقب الأسود بدون الانزلاق بداخله.

الموضوع:
الهندسة
علم الجبر
الأعداد والعمليات الحسابية
الفيزياء
نوع المادة:
Lecture
Provider:
MIT Learning International Networks Consortium
Provider Set:
M.I.T. Blossoms
المؤلف:
Stephen M. Hou
Date Added:
06/02/2012
Developing a Sense of Scale
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This lesson unit is intended to help you assess whether students recognize relationships of direct proportion and how well they solve problems that involve proportional reasoning. In particular, it is intended to help you identify those students who: use inappropriate additive strategies in scaling problems, which have a multiplicative structure; rely on piecemeal and inefficient strategies such as doubling, halving, and decomposition, and have not developed a single multiplier strategy for solving proportionality problems; and see multiplication as making numbers bigger, and division as making numbers smaller.

Subject:
Numbers and Operations
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
The Flaws of Averages
Conditions of Use:
Remix and Share
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This learning video presents an introduction to the Flaws of Averages using three exciting examples: the ''crossing of the river'' example, the ''cookie'' example, and the ''dance class'' example. Averages are often worthwhile representations of a set of data by a single descriptive number. The objective of this module, however, is to simply point out a few pitfalls that could arise if one is not attentive to details when calculating and interpreting averages. The essential prerequisite knowledge for this video lesson is the ability to calculate an average from a set of numbers. During this video lesson, students will learn about three flaws of averages: (1) The average is not always a good description of the actual situation, (2) The function of the average is not always the same as the average of the function, and (3) The average depends on your perspective. To convey these concepts, the students are presented with the three real world examples mentioned above.

Subject:
Education
Mathematics
Numbers and Operations
Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Daniel Livengood
MIT BLOSSOMS
Rhonda Jordan
Date Added:
06/02/2012
Multiple Representations of Numeric Patterning
Conditions of Use:
Read the Fine Print
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This lesson is a re-engagement lesson designed for learners to revisit a problem-solving task they have already experienced. Students will activate prior knowledge of graphical representations through the 'what's my rule' number talk; compare and contrast two different learners' interpretations of the growing pattern; use multiple representations to demonstrate how one of these learners would represent the numeric pattern; make connections between the different representations to more critically compare the two interpretations. (5th/6th Grade Math)

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
Inside Mathematics
Author:
Dickinson, Fran
Date Added:
11/30/2011
Problems of the Month: Friends You Can Count On
Conditions of Use:
Read the Fine Print
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These data analysis problems of the month are designed to be used schoolwide to promote a problem-solving theme at your school. Each problem is divided into five levels, Level A through Level E, to allow access and scaffolding for the students into different aspects of the problem and to stretch students to go deeper into mathematical complexity. The problems cover statistics, probability, discrete math, and counting principles.

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Noyce Foundation
Provider Set:
Inside Mathematics
Date Added:
11/30/2011
Problems of the Month: Squirreling it Away
Conditions of Use:
Read the Fine Print
Rating

These number problems of the month are designed to be used schoolwide to promote a problem-solving theme at your school. Each problem is divided into five levels, Level A through Level E, to allow access and scaffolding for the students into different aspects of the problem and to stretch students to go deeper into mathematical complexity. Number problems cover number operations, properties, and number theory.

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Noyce Foundation
Provider Set:
Inside Mathematics
Date Added:
11/30/2011
Sets, Counting, and Probability
Conditions of Use:
Read the Fine Print
Rating

This online math course develops the mathematics needed to formulate and analyze probability models for idealized situations drawn from everyday life. Topics include elementary set theory, techniques for systematic counting, axioms for probability, conditional probability, discrete random variables, infinite geometric series, and random walks. Applications to card games like bridge and poker, to gambling, to sports, to election results, and to inference in fields like history and genealogy, national security, and theology. The emphasis is on careful application of basic principles rather than on memorizing and using formulas.

Subject:
Numbers and Operations
Material Type:
Homework/Assignment
Lecture
Reading
Provider:
Harvard University
Provider Set:
Harvard Extension School
Author:
Paul G. Bamberg
Date Added:
01/09/2013
Using Positive and Negative Numbers in Context
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This lesson unit is intended to help teachers assess how well students are able to understand and use directed numbers in context. It is intended to help identify and aid students who have difficulties in ordering, comparing, adding, and subtracting positive and negative integers. Particular attention is paid to the use of negative numbers on number lines to explore the structures: starting temperature + change in temperature = final temperature final temperature Đ change in temperature = starting temperature final temperature Đ starting temperature = change in temperature.

Subject:
Numbers and Operations
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013