National Council of Teachers of Mathematics

home(a) Council of T separatelyers of Mathematics (NCTM) Standards Website Lesson Plans Edwina Schweitzer Grand Canyon University EED 364 November 25, 2012 The National Council of Teachers of Mathematics (NCTM) is a council that has zeal in place standards that ar to be followed and adhered to when creating mathematical littleon excogitations. These standards are interior(a) and require a lot of the schoolers as far as what and how they teach math. While there are many a(prenominal) choices of lesson thinks that support the standards found by the NCTM regarding number sense and trading operations, only four will be utilise to fulfill the following criteria. . Four lesson plans were chosen to illustrate the support of the NCTM standards A. Problem- resolve Math, occurrence 1, ( husking Education, n. d. ) is a lesson plan that helps learners understand the wideness of numbers. In this lesson the objectives are to orient the students the importance of numbers in math, a nd march examples of how they are used in everyday life. The students start out by watching the video, Problem-solving Math, episode 1, and consequently talking about all of the numbers that they see in the schoolroom, such(prenominal) as the numbers on a clock or how many paint brushes or windows there are.The students are then(prenominal) asked to imagine a world without numbers and give ideas of how things would be various. They are then asked to keep down examples of how they have used numbers, such as dividing candy among friends, existence first in line, or cosmos measured at the doctor. They are then asked to share these examples with the class and post them as a varan of the importance of numbers in their everyday lives. B.Activity 3 Exploring the effect of operations on tenfolds, (Illuminations, 2000-2012) is a lesson plan that gives students the opportunity to explore the effects of addition, subtraction, multiplication, and section on decimal numbers. This les son provides a Maze Playing Board carpenters plane that allows students to play a game while making their way by dint of the maze. The object of the maze is to give the sack the maze with the highest decimal number. Examples of addition, subtraction, multiplication, and division of decimal numbers are shown on an overhead projector for the students to see as a visual aid.This activity requires the use of the figurer, which provides practice employ a calculator while having recreation with a maze. The students are then flummox into groups of three to discuss their results. C. Ill divide sto a greater extent please (Jackson, n. d. ) is a lesson plan that uses fractions to elucidate riddles provided in a PBS episode of Cyberchase, authorise Zeus on the Loose. The students watch the episode and then use fractions to solve the riddles while controling the parts of the fractions and their importance in everyday life.There is a handout that is included with the lesson plan and a list of materials, including smores ingredients, galactic numbers and a bar of paper cut out for fractional use. D. Life is Full of Problems, (Young, n. d. ) is a lesson plan that helps students make up ones mind how to read, interpret, and devise a solution to math problems. This lesson requires the use of noetic solving, paper and pencil, and calculator usage. The students learn to double check their answers for correct procedures and solutions. There are several ideas listed in this lesson plan that whitethorn fit into any diverse classroom.This is a lesson plan that is particularly undecomposed for encouraging mental solving of mathematic equations. While the mental solving is attempted first, they may check their mental answers by work the problem out on paper, then double checking themselves with the calculator. This incorporates three diametric means of problem solving, and not only teaches the importance of mental capabilities, it enables the students to finish with the use of calculators. 2. The methodology of number sense is used in each of the lesson plans in various ways. Problem-solving Math, episode 1, (Discovery Education, n. . ) includes a vocabulary list that the others do not. Vocabulary is an integral part of developing the skills and conceits necessary to explain solutions to problems, (Camelot Learning, n. d. ). all of the lessons use number importance and provide activities to enhance this importance. Even though whatever of these activities may not have vocabulary language to surveil the lesson, they could be incorporated into them. If the higher pocks already know the vocabulary words for the lessons being taught, they could be a refresher so that the students did not go out them. 3.The activities that were included in these lesson plans include mathematical operations such as addition, subtraction, multiplication and division of decimals and fractions. Calculators are used in two of the activities, and the importance of the use of numbers is emphasized in all activities. Problem solving techniques are given as examples and the students are encouraged to improve on them through the completion of the activities. One lesson plan even includes a Smores snack in the activity. Students would not only get to work with Smores, but eat them afterwards 4.These websites are appropriate for K-5th grade students, depending upon the lesson being taught and the extent to which the teacher would like to instruct it. All of the lesson plans are pliable for students, but grades 3-6 seemed to be the best to benefit from them as they are listed. A couple of the lesson plans included variations that could be made simpler or more difficult, depending upon the grade and needed difficulty level. This variation in difficulty is also good for the differentiation of the students. 5. The lesson plans all provided ideas for differentiated instruction.These were also ideas that could be used for different grade levels, dependi ng upon how in-depth the teacher wanted to go. Small groups were assigned to discuss the results of well-nigh of the activities. This could be helpful with those students that have greater challenges and may struggle with their activities. many of these activities could be made partner activities to help ELL students or those that may pass to be slower academically. 6. These lesson plans are distinguished to the students intellect of mathematics because all of the lesson plans contained vital knowledge of the importance of numbers in everyday life.The students need to learn the components of these lessons to be successful at anything in life, as they are basic but important components. All of these lessons show the students how numbers surround them and that without numbers their world would not be the equal at all. They constantly use numbers on a free-and-easy basis, right down to their phone number, address, age, size of clothes, and how tall they are. By providing the exa mples of this and then providing the opportunity for hands on activities to illustrate this importance, the students may be less likely to make the comments, Why do I have to learn this? I will never use this 7. The activities within the lesson plans could improve student achievement by providing the visual, hands on activities necessary for student concord and growth. By allowing the students to participate in the activities and have fun, they will remember the concept being taught better because they have witnessed how important it is and have learned by the fun activities provided. The success of the students can be far greater when they are allowed to participate in hands on activities as opposed to scarce being lectured on a particular concept. It is always easier to remember something when you had fun doing it.This principle is the same with lessons. The more opportunities for the students to do activities or games that pertain to the lesson, the better chance the students have to remember the concept being taught. This is only a success builder in academics. 8. Manipulatives were used in all of these lessons to some extent. The Problem-solving Math, Episode 1 lesson plan could use a few more ideas for manipulative use. Where the students were asked to look around the classroom and find things that contained numbers, they could choose items from the classroom to total one to ten items.This could be done by calculation out one book, two sheets of paper, three markers, four crayons, etc. Manipulatives may be changed or increased in any of the lesson plans, depending upon the teacher and how he/she chooses to provide them. The four lesson plans that were chosen and described all adhere to the standards set in place by the National Council of Teachers of Mathematics (NCTM). Each lesson plan had the NCTM link or listed standards included in the body of the lesson plans. These standards are important for teachers to be aware of and use when creating lesson plans for mathematic instruction.By having these standards set in place and using them, all of the students will have the same emphasis and importance put on number sense and operations, regardless of grade level or school. Reference Camelot Learning. (n. d. ). Camelot learning math intervention curriculum. Retrieved November 25, 2012 from http//www. camelotlearning. com/why-camelot/methodology. Discovery Education. (n. d. ). Problem-solving Math, episode 1. Discovery education. Retrieved November 25, 2012 from http//www. discoveryeducation. com/teachers/free-lesson-plans/problem-solving-math-episode-1. cfmIlluminations. (2000-2012). Activity 3 Exploring the effect of operations on decimals. Illuminations. Retrieved November 24, 2012 from http//illuminations. nctm. org/LessonDetail. aspx? id=L252. Jackson, C. (n. d. ). Ill halve smore please National teacher training institute. Retrieved November 25, 2012 from http//www. thirteen. org/edonline/ntti/resources/lessons/m_half/index. h ypertext markup language Young, K. (n. d. ). Life is full of problems. Retrieved November 25, 2012 from http//www. learningpt. org/pdfs/mscLessonPlans/young. pdf National Council of Teachers Page 2