3. Discuss what most students appear to understand well, and, if relevant, any misunderstandings, confusions, or needs (including a need for greater challenge) that were apparent for some or most students. Cite evidence to support your analysis from the three student work samples you selected. (TPE 3)
After reviewing student work and collecting data about their progress in this learning segment, I centered in on what topics students needed more assistance on and which they had mastered. Students tended to understand simple decimal subtraction (question 1a), decimal point placement (question 2a) in a multi-digit number and simple decimal multiplication (question 6). All three of my selected students correctly answered 1a and 2a proving that students across all ability levels were able to master this specific content. As for number six, two out of these three students answered it correctly.
It was apparent that the majority of my students struggled to understand the concept of multi-digit decimal division (question 4a-4c), multi-step decimal subtraction (question 1b) and complex multi-digit decimal multiplication (question 5). Students tended to do worse on word problems than any other type of question on this assessment. I think this may be because these questions required them to pull out particular numbers and use multiple steps to come to a conclusion instead of just being given a pre-set equation. Students had the tendency to use the incorrect operation when attempting
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.
[The formal and informal assessments in the learning segments provided direct evident throughout the learning segments as I was able to incorporate relevant and meaningful assessments with my students. In the first lesson, students will be assessed through an observation during the anticipatory activity. I will use a Smart Presentation in this lesson and have the students determine which items have the greatest/least quantity. I will collect the data using my clipboard. In learning experience 2, students will, again, be observed. I will use a checklist ensuring students are able to read quantities from left to right as well as being able to recognize the three key vocabulary terms for this unit –
I taught a group of students at various grade levels to prepare them for their secondary-level standardized tests. The particularly
It is compulsory for Australian year 3, 5, 7 and 9 school students to complete the National Assessment Program- Literacy and Numeracy (National Assessment Program, 2016) test. The NAPLAN test provides schools, governments, education authorities, students and the community statistics of schools and individual student’s weaknesses and strengths in specific areas of curriculum. One of the areas of curriculum that is tested is Mathematics. For this assignment we had to answer five questions from a year 9 NAPLAN test. I felt confident answering majority of the questions correctly; taking my time to logically work out each question with the aid of pen and paper when needed. I am a visual learner, so I was able to mentally solve most of the questions in my head. I rarely need to use a calculator as I have memorized many different strategies for working out mathematical questions.
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
The pre-assessment used to establish students’ baseline knowledge and skills for this lesson is first to watch the video https://www.youtube.com/watch?v=9Z2gpbYiEXo. After the video engages the students to bring back prior knowledge, they will be given a white board. The students will work out a subtraction problem on the board for me to see what they already understand about solving subtraction word problems. I will use the data to know what parts of the instruction on how to solve subtraction word problems need to be more emphasized to the students.
According to Table 1.2, the following categories fell within close range to the mean: number sense, attends to print, basic reading, articulation, communication (receptive), matching, pre-writing, colors, and shapes. It is evident through this data analysis that most students are at the emerging stage of ability levels, implicating that they require some level of prompting to ensure they produce a correct response. It is concluded that students require continued instruction with addition, reading, and working independently are skills that require continued instruction. Division, multiplication, graphing, and telling time were areas that all students found to be the most challenging, thus these findings confirmed my original assumptions,
Based on data from student work samples, benchmark assessments, classroom tests and quizzes, John is able to solve basic multiplication facts with 100% accuracy. He can solve basic division facts with 92% accuracy. John can subtract numbers to the hundred thousands place with regrouping and across zeros with 90% accuracy. He can solve 2 digit by 1 digit multiplication problems with 85% accuracy, 3 digit by 1 digit multiplication problems with 95% accuracy and 4 digit by 1 digit multiplication problems with 90% accuracy. He can solve 2 digit by 2 digit multiplication problems with 85% accuracy. He can solve 3 digit by 1-digit division problems with 83% accuracy. He can identify the correct operation used to solve a word problem with 82% accuracy.
By far the most confusing thing to me in this lesson was factoring numbers. I understood the concept and how to do them, but I wasn’t able to completely get them right every time. It was easier when factoring quadratics, but I still had some trouble with them. I consulted this internet to find out more on factoring polynomials which ended up helping a bit. I still did not have the best understanding of them, but I was able to solve most problems without having much trouble.
Wendy correctly computes triple digit addition problems with 100% accuracy. She is able to complete quadruple digit addition problems as well as addition problems with decimals. When Wendy is asked to complete triple digit subtraction problems, she is able to complete the task with 85% accuracy. After direct instruction about place values, Wendy was able to state the correct place value with greater than 80% accuracy. When Wendy was asked to skip count she was able to complete the task, but when numbers were greater than 100 she had to be reminded what number came next, and then she was able to keep going. Skip counting by 2’s is the most difficult for Wendy. When presented with addition and subtraction word problems, Wendy was able to
From the three students whose work samples were selected, choose two students, at least one of which is an English Learner. For these two students, describe their prior knowledge of the content and their individual learning strengths and challenges (e.g., academic development, language proficiency, special needs). What did you conclude about their learning during the learning segment? Cite specific evidence from work samples and from other classroom assessments relevant to the same evaluative criteria (or rubric). (TPE
The Common Core Mathematics Test is given on three consecutive days and contains three different books, Book 1, Book 2, and Book 3. Books 1 and 2 only contain multiple choice questions with four answer choices. The student answers these questions by darkening the appropriate bubble on the answer sheet. Short-response and extended-response questions are asked in Book 3, in which students write their answers directly in the test booklet (NYSED, 2014). Only in grade 5 will students be supplied with a reference sheet, which they should be prompted to remove (NYSED, 2014) and manipulate in order to perform to the best of their ability.
As an educator it is very important that a teacher uses different methods to teach the variety of different learning styles, and it is also important that the teacher uses a variety of assessment procedures. People don’t learn the same, and people don’t test the same either. I personally, am horrible when it comes to taking multiple choice and problem solving type assessments. I do better with essay and writing assessments, presentations, and teaching back what I have learned. With the understanding of how I can best be assessed myself, it will be important when I am the teacher that I use many methods to assess and grade my students work.
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.