This is a number & operation lesson for Kindergarten- 2nd grade. This lesson might be used in conjunction with lessons involving fact families. The goal of the lesson is to help the students gain an understanding of fact families. The students will start with one number, 7, and find the different addition and subtraction fact families for each number. After the students have used the counters/cubes/buttons and the red strip and found the different facts of the first number, the students will count out 8 counters/cubes/buttons and find the next numbers in the fact families.
Strengths & Weaknesses:
The activities in this lesson promote a deep understanding of fact families and the different properties of fact families involving addition and subtraction. A strength of this lesson, with it being the beginning of learning and using fact families, is the fact that the students are using manipulatives to visualize and see the similarities in fact families. The students are also recording their information and facts down as they manipulate the counters/cubes/buttons. This allows the students to visualize the fact families in all of the possible ways, while still getting the practice of writing out the information, since they will not always have the materials as supports. Students use of manipulatives and writing in conjunction allows the students to have maximum practice in learning number combinations. The questions that are related to this lesson will help the students
The
Jazmine was introduced to two digit addition. My first lesson focused on drawing tens and ones to solve two digit addition. This strategy would provide Jazmine with the visuals she needs to solve the problem. First, I did a quick review on how to draw tens and ones to represent a number. She was given three examples ranging from easy to hard. Jazmine showed no signs of difficulty and was able to complete the task. Then, I demonstrated how to use the drawings to add two digit numbers. I explained how she must draw the picture for each addend. Then, I explained that she must count the tens first and then the ones. She smiled and said “that's easy”. We went through a couple of problems together and Jazmine displayed that she understood the strategy of drawing tens and ones to solve two digit
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
Students had previously covered the topic of developing fluency in multiplication by 2-digit numbers. After that topic students moved on to cover number sense, dividing by 1-digit divisors using mental math to prepare them for the following topic of my learning segment. The topic of my learning segment consists of developing fluency, dividing by 1-digit divisors. I designed my lesson as a three-day unit focusing on long division by modeling division with place-value blocks, dividing 2-digit by 1-digit numbers, and dividing 3-digit by 1-digit numbers. Students were introduced to division prior to my learning segment but the struggled to understand and comprehend division because students were only introduced to the division algorithm and were not provided with a mnemonic to help them recall the steps. Students also weren’t introduced to division with manipulatives or drawings. Therefore, I
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).
In Section D, Daniel demonstrated a primary understanding of the multiplication and division concepts. Daniel can count group items by ones. He also counts one by one to find the solution for involving multiple groups when all objects are modeled. Daniel was able to use different strategies to count the cars in the boxes as he said, “I can count them by twos because there are two cars in each box,”
of contexts, checking their answers in different ways, moving on to using more formal methods of working and recording when they are developmentally ready. They explore, estimate and solve real-life problems in both the indoor and outdoor
When given a set of numbers, Brandon is able to count by 2's, 5's, and 10's to 100 with about 75% accuracy. Brandon has worked very hard his quarter and shown great improvements when telling time to the nearest 5 minutes. Addition facts have been a challenge for Brandon this quarter. He is able to answer addition facts that include +0, +1, and some +2. In order to answer all other addition facts, Brandon has been using the counting-up strategy. Brandon has been diligently working on learning and remember more of his addition facts. Brandon is becoming more consistent when asked to name and state the value of each coin.
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.
In order to improve my instructional practices, I analyzed instructional data from district math diagnostic and proficiency assessments. The most recent assessment assessed student’s abilities to count, add and subtract, and their understanding of place value. My students scored below not only the other first grade students at the school, but also all first grade students in the district. 81.6% of my students could count, read, and write numbers to 120. This was an improvement from their diagnostic assessment. However, only 66.7% could relate counting to addition and subtraction, and only 45% demonstrated understanding of place value in two digit numbers.
For pupils to use a calculator effectively requires a sound knowledge of number. As children learn how to enter simple one step calculations that involve whole numbers, they can explore
Problem Solving, Numeracy and Reasoning: Helping to expand their knowledge of problem solving using stories, games, role play, singing and games. Making the child feel easy talking about and understanding the language of reasoning and problem solving.
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
This book is a teacher edition and it discusses how you can teach math lessons. This book is volume 1 and it has 6 chapters those include: Numbers to 12 and Graphing, Addition and Subtraction Readiness, Addition and Subtraction Concepts, Facts and Strategies to 12, Geometry and Fractions, and More Fact Strategies. This books provides examples of how you can incorporate technology and assess students.
The first stage is the sensorimotor stage, which takes place between the age of zero to two, and is where children understand perception and awareness of the environment through physical actions and the manipulation of objects (Ghazi & Ullah, 2016, pg. 1). In the sensorimotor stage, the most important thing to understand is the idea of object permanence and understanding that even when the child cannot see the object they are still able to find it. Also, in this stage they begin to associate numbers with objects and they understand counting. In order to enhance a child’s math basis teachers are giving activities that include counting. Asking question like “Who has more?” and “Are there enough?”, start the foundation for young children to not only understand these things in the classroom but even more so in the real-world. Another way teachers enhance
Teacher Talk- In this lesson you learned how to show 1 more, 2 more, 1 fewer and 2 fewer than a number.