Standard Classroom Size Or Virtual Unlimited

Algebra is a critical aspect of mathematics which provides the means to calculate unknown values. According to Bednarz, Kieran and Lee (as cited in Chick & Harris, 2007), there are three basic concepts of simple algebra: the generalisation of patterns, the understanding of numerical laws and functional situations. The understanding of these concepts by children will have an enormous bearing on their future mathematical capacity. However, conveying these algebraic concepts to children can be difficult due to the abstract symbolic nature of the math that will initially be foreign to the children. Furthermore, each child’s ability to recall learned numerical laws is vital to their proficiency in problem solving and mathematical confidence. It is obvious that teaching algebra is not a simple task. Therefore, the importance of quality early exposure to fundamental algebraic concepts is of significant importance to allow all

Dacey, L., & Gartland, K. (2009). Math for All: Differentiating instruction, grades 6-8. (J. Cross, Ed.) Sausalito, California, USA: Math Solutions.

The math concepts taught in this lesson are teaching the students how to use certain math formulas, and practice addition and multiplication. It is beneficial for students to know what tools to use for capturing and displaying information that is important to them (Davis, 2011). The science concepts taught in this

2. A month after the classroom teacher completed the review unit for multiplication, we began long division. One student was having a very difficult time with long division. The student hadn't quite mastered their multiplication facts, thus, making the long division unit difficult. I printed out a multiplication chart which listed the multiplication tables from 0-12. The student completed the long division unit with confidence using the chart. Additionally, I created and located

1 Using addition and substation within 20 to solve word problems involving situations of adding, taking from putting together, taking apart and comparing, with unknowns in all positions, e.g., by using objects, drawing, and equation with a symbol for unknown number to represent the problem.

Write 912 ÷ 4 on the board. “We learned about this yesterday. How would we solve this? What do we do with the extra number in the quotient? What is that number called?”

My goal is to assess student’s prior knowledge of division and to teach students how division can be modeled by using place-value blocks so students can see that division consists of arranging items into equal groups. My goal for day one is to help students develop and understanding of division through the use of manipulatives and drawings so when they transfer that knowledge to day two, students will have a better sense that division consists of dividing a large number into equal groups. By using place-value blocks I also want students to visually see what a remainder looks like so they can better understand what a remainder represents. Sometimes students can’t understand the definition of a remainder which is the part that is left over after

Her philosophy of learning is “ever changing” and she believes “the learner is the most important piece of the puzzle…” . (H. Cyrus, personal communication, January 20, 2017) She works continuously with the other second grade teachers in a team to set the plan on the standards and how they will meet them each year. They do not follow a curriculum, but the Common Core State Standards (CCSS) with the Essential Learning Outcomes (ELO) and Depth of Knowledge (DOK) levels. The curriculum Math Investigations is offered in the district for her grade level, but it is not a main focus for her lessons. She utilizes curriculums provided by the district as resources and supplements for lessons alone.

This is one unit in a yearlong 6th grade math course. In this unit, the students will learn about expressions and equations. Students will learn how letters stand for numbers, and be able to read, write, and evaluate expressions in which these letters take the place of numbers. In this unit, students will learn how to identify parts of an expression using various new terms. They will learn to solve both one- and two-step equations. Students will be able to distinguish between dependent and independent variables. They will be able to identify the dependent and independent variables of equations and in turn, be able to graph them. Various activities to be completed inside and outside of the classroom will be used to show

The author explains how many students, especially those in the focused-upon second grade class, have difficulty explaining their “mathematical thinking process”. While they may provide correct answers using memorized calculations, they are unable to demonstrate their conceptual understandings or explain how they achieved the right results. As stated by the researcher, “it is important for students to be able to demonstrate their mathematical thinking as well as their method of solving a problem” (Kostos & Shin, 2010, p.223).

TTW will give puzzle pieces to the students and she will show the multiplication fact and the students need to find the matching pieces that show the different way to group multiplication facts.

that would allow students to explore multiplication as equal groups through a familiar context” (Ex. Lines 4 and 5 provide evidence of established a mathematical goal to focus learning). The teacher also reminded the students of the initial goal,” ‘So, tell me about your picture. How does it show the setup 28 of the chairs for the band concert?’" (Ex. Lines 28 and 29 provide evidence of established a mathematical goal to focus learning).

The sequence of three Year 1 mathematics lessons (Artefact 4) were created as an assignment for EDP2222. For this assignment we were required to select a content descriptor from the Australian Curriculum; Mathematics and plan a sequence of three mathematics lessons designed to actively engage students. We were required to provide a full lesson plan for the first lesson and a flow chart that included the content, resources and assessment for the next two lessons. This sequence of lessons is designed to teach students to represent and solve simple addition problems using a range of strategies including counting on, partitioning and rearranging parts (ACMNA015).

Multiplicative thinking, fractions and decimals are important aspects of mathematics required for a deep conceptual understanding. The following portfolio will discuss the key ideas of each and the strategies to enable positive teaching. It will highlight certain difficulties and misconceptions that children face and discuss resources and activities to help alleviate these. It will also acknowledge the connections between the areas of mathematics and discuss the need for succinct teaching instead of an isolated approach.

Multiplication by ten gives students opportunity to explore larger numbers, and can also be extended on(Reys et al. ch. 11.4). In addition, multiples of 10 give students the knowledge that all digits move left one place and an additional place hundreths. This concept can be used to introduce the decimal place which is also moving place each time something is multiplied by tens. Exposing students to a range of examples which displays patterns that occur when multiplying by tens and hundreths will generate meaning of digits moving place (Reys et al., ch. 11.4).