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Topic: Fraction (mathematics)

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  Fraction (mathematics) Summary
Subtraction of fractions is similar to addition, in that the fractions being subtracted must have a common denominator.
In mathematics, a fraction is a way of expressing a quantity based on an amount that is divided into a number of equal-sized parts.
Multiplying the numerator and denominator of a fraction by the same (non-zero) number results in a new fraction that is said to be equivalent to the original fraction.
www.bookrags.com /Fraction_(mathematics)   (3781 words)

 fraction (mathematics)
as a fraction and 37% as a percentage.
Fractions are also known as rational numbers;; that is, numbers formed by a ratio.
To add or subtract with fractions a common denominator (a number divisible by both the bottom numbers) needs to be identified.
www.tiscali.co.uk /reference/encyclopaedia/hutchinson/m0006681.html   (492 words)

 Curricula for Teaching about Fractions. ERIC Digest.
The study of fractions is foundational in mathematics, yet it is among the most difficult topics of mathematics for school students.
In the fourth module, fraction strips are used to help students develop an understanding of what is meant by partitioning a whole length into equal fractional lengths, of estimating fractional lengths, and of measuring distances.
Fraction equivalence and ordering are then introduced using area models before students are asked to develop the same concepts using a discrete model such as counters.
www.ericdigests.org /2000-2/fractions.htm   (1500 words)

 Fraction (mathematics) - Wikipedia, the free encyclopedia
The numerator and denominator are the "terms" of the fraction.
A vulgar fraction (or common fraction) is a rational number written as one integer (the numerator) divided by a non-zero integer (the denominator), for example
A complex fraction (or compound fraction) is a fraction in which either the numerator or denominator or both contain a fraction.
en.wikipedia.org /wiki/Fraction_(mathematics)   (1917 words)

 Help cant do this on paper - Topix
Just occured to me...do you want the answer as a decimal or a fraction?
If you are looking for a fraction, take the ratio above and start factoring out common factors...both numbers are even, so start by dividing both by 2.
Most people learn long division in 5th or 6th grade.
www.topix.net /forum/science/mathematics/TK8URAHNASJR4ISJF   (301 words)

Mathematics, Science, and Technology Learning Standard 3 (Mathematics): Students will understand mathematics and become mathematically confident by communicating and reasoning mathematically, by applying mathematics in real-world settings, and by solving problems through the integrated study of number systems, geometry, algebra, data analysis, probability, and trigonometry.
Students will be able to use fraction bars to visualize addition of fractions by lying one fraction bar on top of another and locate a third fraction bar that is equal to these first two.
Additionally, students will also be given "higher order thinking" to stimulate their previous knowledge and apply fractions to things which are not always thought of as fractional, even though we have covered it in the opening lesson.
www.naz.edu:9000 /~cjdewane/FractionAliasesCaper(FEq)LP.htm   (2553 words)

 Egyptian Fraction -- from Wolfram MathWorld
An Egyptian fraction is a sum of positive (usually) distinct unit fractions.
The reason the Egyptians chose this method for representing fractions is not clear, although André Weil characterized the decision as "a wrong turn" (Hoffman 1998, pp.
Any fraction with odd denominator can be represented as a finite sum of unit fractions, each having an odd denominator (Starke 1952, Breusch 1954).
mathworld.wolfram.com /EgyptianFraction.html   (803 words)

 Fraction - Wikipedia, the free encyclopedia
Fraction (mathematics), a quotient of numbers, like Ā¾, or more generally, an element of a quotient field.
Fraction (religion), the ceremonial act of breaking the bread during Christian Communion.
Fraction (politics), a term used in the past by Communists.
en.wikipedia.org /wiki/Fraction   (154 words)

 Maths Websites
Mathematical Puzzles: The puzzles presented here are selected for the deceptive simplicity of their statement, or the elegance of their solution.
Mathematics Newsletter: In conjunction with the subject associations, Becta are now able to offer a wide range of curriculum focussed newsletters.
Mathematics National Strategy: Number and algebra lessons to support the intervention strategy and the Year 7 Key Stage 3 strategy for mathematics are now available.
www.spartacus.schoolnet.co.uk /REVmaths.htm   (6102 words)

 Math Forum : Fractions : Middle School Lessons & Materials
A video that shows the relation between arithmetic and algebraic fractions, demonstrating how to reduce algebraic fractions by dividing out common fractions, and discussing addition, subtraction, multiplication, and division of algebraic fractions, and how to solve equations involving algebraic fractions.
Mathematics from a Pineapple: Infinite sequences, limit of a sequence, ratios, fractions,and decimals.
The Math Forum is a research and educational enterprise of the Drexel School of Education.
mathforum.org /paths/fractions/m.fraclessons.html   (822 words)

 Continued Fraction -- from Wolfram MathWorld
The simple continued fraction representation (which is usually what is meant when the term "continued fraction" is used without qualification) of a number
The error in approximating a number by a given convergent is roughly the multiplicative inverse of the square of the denominator of the first neglected term.
Continued fractions can be used to express the positive roots of any polynomial equation.
mathworld.wolfram.com /ContinuedFraction.html   (1384 words)

 fraction mathematics
Provides college and high school mathematics teachers with some of the core findings from research into reforming how calculus is taught, emphasizing the importance of application, exposition, and pedagogy.
Mathematics and mathematicians can be the objects of public interest, if there are individuals capable of explaining those items in a form that the intelligent reader can follow.
As students struggle through their mathematics lessons, it is sometimes helpful for them to understand that the creators of their torment often struggled as well.
www.algebra-online.com /fraction-mathematics.html   (869 words)

 E-Example 5.1.4: Communicating about Mathematics Using Games   (Site not responding. Last check: 2007-10-13)
Mathematical games can foster mathematical communication as students explain and justify their moves to one another.
In this fourth part, Reflecting on Practice, the teacher reflects on her own mathematical learning that occurs as a result of using activities like this game with her fifth-grade students.
The ability to reflect on and refine mathematical understanding as well as instructional practice is essential to achieving the vision of school mathematics outlined in Principles and Standards for School Mathematics.
standards.nctm.org /document/eexamples/chap5/5.1/part4.htm   (393 words)

 NLVM 3 - 5 - Number & Operations Manipulatives
– Judge the size of fractions and plot them on a number line.
– Write the fraction corresponding to the highlighted portion of a shape.
– Illustrate a fraction by dividing a shape and highlighting the appropriate parts.
nlvm.usu.edu /en/nav/category_g_2_t_1.html   (424 words)

 Grade Four - Content Standards (CA Dept of Education)
1.5 Explain different interpretations of fractions, for example, parts of a whole, parts of a set, and division of whole numbers by whole numbers; explain equivalents of fractions (see Standard 4.0).
1.7 Write the fraction represented by a drawing of parts of a figure; represent a given fraction by using drawings; and relate a fraction to a simple decimal on a number line.
2.4 Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support solutions with evidence in both verbal and symbolic work.
www.cde.ca.gov /be/st/ss/mthgrade4.asp   (1317 words)

 Fraction Islands: Teaching fractions just got easier
Fraction Islands provide a powerful, flexible model that allows children to quickly form clear mental images through hands-on discovery.
Place different fractions right on top of each other for comparison and to understand equivalent fractions and subtraction.
Fraction IslandsĀ® is a registered trademark of Pathfinder Services, Inc., Huntington, Indiana, USA
www.fractionislands.org   (257 words)

 E-Example 5.1.1: Communicating about Mathematics Using Games   (Site not responding. Last check: 2007-10-13)
Clicking on Finish Move will either let the next player take a turn if the markers correctly add to the fraction shown on the box or display an error message if the move was not correct.
Teachers can help students understand the relationships among the fractions on the board by asking questions like "How was the game board constructed?" and "How are various tracks on the board related?" The Fraction Track board can be used as a visual model for comparing fractions and finding equivalent forms.
To extend this game, students could make their own boards with different fractions, with decimals, or with a combination of decimals and fractions.
standards.nctm.org /document/eexamples/chap5/5.1/index.htm   (535 words)

 Fractions at Cool math 4 kids .com - Fraction Lessons - Fractions explained in an easy way!
Fractions: Adding Fractions When the Denominators are the Same
Fractions: Subtracting Fractions When the Denominators are the Same
Fractions: Adding and Subtracting Fractions When the Denominators are
www.coolmath4kids.com /fractions   (85 words)

 NEIRTEC Mathematics Resources   (Site not responding. Last check: 2007-10-13)
They can be used to improve the teaching and learning of mathematics for all students and can help you understand and apply the NCTM Principles and Standards for School Mathematics.
This site also includes virtual manipulatives for exploring hundreds of mathematical ideas including the size of the exterior angles of a polygon and the ratios found in the length, width, and area of rectangles.
The modules are designed to help elementary, middle, and high school teachers deepen their own understandings of mathematics, incorporate effective teaching and assessment methods, use technology in their classrooms, and address issues of equity.
www.neirtec.org /math   (1268 words)

 Lesson Exchange: Fraction Pizza (Elementary, Mathematics)
Each student will have their own pizza box with one 8 cut pizza design glued to the bottom of the pizza box to act as a reference.
Prior to using the pizzas, the teacher can either review fractions or introduce the topic if it is new.
When the activity is completed, each student can replace all of their slices of pizza in the pizza box for the next time they are put to use.
www.teachers.net /lessons/posts/1640.html   (298 words)

 fraction - OneLook Dictionary Search
Fraction : The TCRC Glossary For Testicular Cancer and Related Conditions [home, info]
Phrases that include fraction: improper fraction, proper fraction, continued fraction, common fraction, complex fraction, more...
Words similar to fraction: divide, fractioned, fractioning, part, more...
www.onelook.com /?w=fraction   (327 words)

 Mathematics Education Home Page
This site is designed for preservice mathematics teachers in order to give them experience with the World Wide Web and to enable them to effectively use web resources in their teaching of mathematics.
This site also lists course descriptions within the Mathematics Education subject area, the instructors teaching the courses, information about the graduating group of secondary mathematics majors, and general information regarding all students taking the EMTH classes.
The focus of the Mathematics Education Subject Area is to enable future mathematics teachers to develop a constructivist, problem-solving, resource-based approach to teaching mathematics, in keeping with recent provincial curricular initiatives.
education.uregina.ca /mathed   (259 words)

 References to Fraction Journal Articles
Bezuk, N. "Fractions in the Early Childhood Mathematics Curriculum" Arithmetic Teacher 35 (February 1988): 56-60.
Edelman, L. "The Fractions of a Day" Mathematics Teaching in the Middle School 3 (November-December 1997): 192-195.
Ettline, J. "A Uniform Approach to Fractions" Arithmetic Teacher 32 (March 1985): 42-43.
fractionbars.com /FractionRef1.html   (534 words)

 Math 5 - Act. 05: Mixed Number/Improper Fraction Bingo
This is a great use for Fraction Circles or Fraction Factory pieces as well as any handmade equivalent fraction sets.
When making the connection to the symbolic make sure to discuss the fraction bar as another division symbol.
Have each student find a recipe that calls for quantities such as 1 cup of sugar and have them change those amounts to improper fractions.
www.uen.org /Lessonplan/preview?LPid=6155   (206 words)

Activities for whole numbers, measures, fractions, percents and decimals (3-8)
Match equivalent fractions as difficulty level increases (6-12)
Mathematics Materials for Tomorrow's Teachers (M2T2) - interactive modules created by teachers, administrators, university researchers, mathematicians, graduate students and members of the Illinois State Board of Education (6-12)
its.leesummit.k12.mo.us /mathematics.htm   (1477 words)

 Grade 3 - 6 Mathematics Fraction Problem, 4th Grade City Wide Math Practice Test, Eog Math Review Grade 7   (Site not responding. Last check: 2007-10-13)
Grade 3 - 6 Mathematics Fraction Problem, 4th Grade City Wide Math Practice Test, Eog Math Review Grade 7
Educators and students who searched for grade 3 - 6 mathematics fraction problem found the original articles and tips below relevant to their search.
Elementary students may think math is limited to the textbook and the classroom.
math-and-reading-help-for-kids.org /grade_3_-_6_mathematics_fraction_problem.html   (581 words)

 Electronic Resources - Teaching Children Mathematics Cumulative Subject Index 1983-2000
Fraction Circle Activities: A Sourcebook for Grades 4-8, Mar 1989, 58
Fractions in Realistic Mathematics Education: A Paradigm of Developmental Research, Mar 1992, 41
Fractions in the Early Childhood Mathematics Curriculum, Feb 1988, 56-60
my.nctm.org /eresources/tcm/index/fractions.asp   (791 words)

 Cynthia Lanius' Lessons: Who Wants Pizza? Fractions Introduction
We will cut enough pieces so each child can have one, and the pieces should all be the same size.
Now we can write the fraction of the box that is
If 7 children shared the pizza equally, what fraction of the pizza did each child get?
math.rice.edu /~lanius/fractions/frac.html   (78 words)

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