Pper Division

Improved Essays
One important aspect of mathematics is interpreting the meaning of the numbers in the different operations. Van De Walle, Karp, Bay- Williams, (2013) emphasize the importance of developing meaning, interpretations, and relations to the four operations to help students integrate mathematical skills into the real world. For division, teachers should help students identify and use different meanings of remainders to help the learners understand and apply different rules. As students become knowledgeable of the different meanings that the remainder possesses they will be able to interpret the quotient in different ways. Throughout this paper, I will describe the different interpretations of the remainders and division problems using various examples. …show more content…
According to Lambert and Weist (2012) presenting division and remainder in context help students visualize the meaning of the remainder. Problem 1 in diagram 1 presents a problem in which the remainder is a leftover amount. Problem one in diagram one presents a problem in which the remainder can be identified as a left over amount. In the problem, each class will get 58 folders. The 13 remainder folders can be used at a later time or can be stored. On the other hand, problem two depicts an amount that cab be discarded. In problem two, Karen will be able to make 30 bracelets. The nine rubber bands left can be discarded since Karen does not have any more rubber bands to make another …show more content…
One strategy that all teachers most integrate is the use of manipulatives and realia. Using real objects will help students visualize the concept in a real world scenario. For example, I would provide students with bags of purposeful objects that kids like to use. I would then instruct students to divided the objects into a certain amount and explain what they notice with the different amounts. Students will be able to discuss what to do with remainders of each group. The discussion and concrete objects will open the path to create connections to the meaning of remainders. At the same, the discussion will allow students to describe and explain their process and to think of the operation. “Formulating written and oral descriptions of your work is useful when you are part of a group of people with whom you can trade ideas” (Cuoco, Goldenberg, & Mark, 1996, p. 379). In addition, I would encourage students to work with partners to write and create word problems to exemplify the different remainders. Students will be allowed to explore their word problems with manipulatives and realia. Lambert and Weist (2012) explained that students must be allowed to create models and develop problems to help them create meaningful connections to the meaning of

Related Documents

  • Improved Essays

    Transgression Lesson Plan

    • 2177 Words
    • 9 Pages

    Component A Expected learner outcome: This lesson plan is designed for year 7 students and introduces the concept of variables / pronumerals, like and unlike terms in algebra ("Mathematics Years 7-10 Syllabus," 2003, p. 82-83). By the end of this lesson students should be able to distinguish between like and unlike terms and know how to perform an addition or subtraction involving these terms. Describe the lesson: In this lesson, the teacher introduces the concept of variables and develops the notion of abstractness. The idea that letters can be used to represent numbers and can be manipulated using mathematical methods is the key concept of this lesson. In order to teach this lesson, the teacher would help the students extend their understanding…

    • 2177 Words
    • 9 Pages
    Improved Essays
  • Improved Essays

    They are a visual display of new concepts designed to demonstrate relationships among facts, ideas, and new perceptions. These strategies help guide students with thinking and reflecting as they fill in and build upon the new topic. Graphic organizers facilitate student learning across the curriculum to enhance learning and comprehension of subject matter content by helping them make connections with organized thinking. In addition, graphic organizers help establish structured thinking and writing illustrating the student’s knowledge on a given topic (Inspiration Software,…

    • 1326 Words
    • 6 Pages
    Improved Essays
  • Superior Essays

    Lesson Plan One – Teacher’s Guide Teaching Strategies and Rationale: For preparing to have a classroom discussion, the class has the opportunity to first share ideas and experiences related to the anticipation guide amongst their peers. The teacher will later then still have the ability to direct where conversations may lead with having the power to dissolve any appropriate/unnecessary conversations. As an ideational hook, having students in small groups of 2-3 to discuss the questions allows them to be comfortable in sharing their ideas while appreciating other’s perspectives. By having an assigned note taker in each group, they take on the responsibility of having some form of ideas being written down, which supports the notion of accountability.…

    • 733 Words
    • 3 Pages
    Superior Essays
  • Great Essays

    potential barriers and suggested strategies for differentiation) 1. Students should discuss as a class why the different phrasing may cause some students to switch corners and what we know about how change may or may not be happening in our communities. EXPLAIN – Clarify understanding through reading/discussion, speaking and listening with embedded UDL strategies 1. The teacher will explain the first step to being an active and engaged citizen is to be able to speak out on an issue that matters to you and to compel others to care about that issue. These issues then create the foundation for identifying an issue for their letter to address.…

    • 1374 Words
    • 6 Pages
    Great Essays
  • Improved Essays

    Effectively selecting strategies to engage all students in a mathematics classroom is important for higher-order thinking. Selecting an appropriate problem to engage the students in productive struggle is one way to develop conceptual understanding (Van De Walle, Karp, & Bay-Williams, 2013). The problem should be appropriate to the level and understanding of the students. Interesting mathematics should be the focus of the problem, and not the context of the problem. Additionally, it must require justifications for the answers.…

    • 1057 Words
    • 5 Pages
    Improved Essays
  • Improved Essays

    Inquiry Charts

    • 1155 Words
    • 5 Pages

    “Inquiry questions are intended to encourage readers to ask themselves questions as they read and learn” (Unrau, 2008, p. 248). The asking of questions will require analysis and reasoning, which are used during higher order thinking. Students in an inquiry-based curriculum actively and collaboratively engage in the science cycle of recognizing a problem, proposing a hypothesis, designing an experiment, collecting data, analyzing data, and drawing a conclusion (Fang and Wei, 2010). When looking at Bloom’s Taxonomy, integrating inquiry questions in to instruction will help students reach higher orders of thinking. The K-W-L chart can also be utilized as a during-reading strategy.…

    • 1155 Words
    • 5 Pages
    Improved Essays
  • Great Essays

    Dialogic Pedagogy

    • 1492 Words
    • 6 Pages

    Socratic discussions are an “effective wavy of engaging students in tasks that called on their metacognitive and critical thinking abilities, while simultaneously developing both conflict resolution skills and an increased respect for the options and feelings of their peers” (Polite, Adams, 275). While teaching it is important to consider the reason behind using the technique and strategy. When using Socratic Seminar they allow students the opportunity to respond and argue using logic, evidence, and…

    • 1492 Words
    • 6 Pages
    Great Essays
  • Improved Essays

    Evidence Based Practice Teaching Assignment - Part I The Think-Pair-Share strategy is designed to differentiate instruction by providing students time and structure for thinking on a given topic, enabling them to formulate individual ideas and share these ideas with a peer (readwritethink.org). This learning strategy promotes classroom participation by encouraging students to share answers and contribute ideas during class discussions, rather than asking a question and choosing one student to share ideas or answers. In addition, this strategy provides an opportunity for all students to share their thinking with at least one other student. The opportunity of sharing ideas and answers increases students sense of involvement in classroom learning.…

    • 935 Words
    • 4 Pages
    Improved Essays
  • Improved Essays

    Jones classroom is comprehension monitoring. Routman (2000, p. 134) defines comprehension monitoring as “a metacognitive process, which is affected by person strategy and task variables.” This is a great strategy that directs students to make more sense of the text. During the reading workshop, Mr. Jones can teach metacognitive strategies for the student to use before reading to learn how to be aware of the material to comprehend. Once the students apply the strategy when reading, readers begin to reread, look back through text they didn’t fully perceive the first time and take their time reading. The second strategy that can be used in the classroom is graphic and semantic organizers.…

    • 769 Words
    • 4 Pages
    Improved Essays
  • Improved Essays

    In the active approach, the teacher has to supply the students with material and help that will guide them to investigate and explore the competencies that they have to learn. The ICT’s are offering an array of resources to help the students actively in his investigations. The collaborative approach is all about communication between the students and teamwork. Students have to discuss, debate, write and present collaboratively in most of the activities in the collaborative approach. ICT’s have contributed to the creative approach by offering new way to present the material.…

    • 1094 Words
    • 4 Pages
    Improved Essays