For the most part, I usually teach math the way I was taught. Throughout this course, I have been exposed to several new strategies, concepts and principles that have opened up a totally new experience and possibilities for me. I believe that one of the most fundamental principles I have learned is that multiple strategies do not confuse students what they do is to offer the students more options to choose from thus cultivating fluency. I currently teach grade six and have been for the past three years. By the time students get to me, they would have already been set in their way of doing math so instead of introducing new strategies, I would continue to build on what they already know and are used to. Interestingly, this course has shattered …show more content…
According to Tomlinson and McTighe (2006) teachers can differentiate content, process and product. I can choose to differentiate instruction by introducing my students to an array of strategies. I have also learned the significance of concepts such as remainders and rounding and estimation. Prior to this course, I have not really paid any real attention to their significance. For example, I taught my students how to round decimals but after this course, I realize that I fell short in helping them to understand why they round and how they can transfer this skill into their everyday lives. Additionally, I have not stressed enough how important estimation is. Since this course, I now require my students to make an estimation before they attack any problem. For example, in the past if I gave students 3.45 x 12.3 some who has difficulty with the decimal point may give their answer as 424.35. Now, because I have taught them the skill of estimation, they can look at the whole numbers 3 and 12 and pick up right away that 12 x 3 cannot give an answer of 424.35 so they are forced to redo the …show more content…
Some students may feel that I am asking them to unlearn what they have learned over the years. They may also feel that an introduction to new strategies may confuse them and that they would be better off sticking to what they know. Once I am able to get pass these barriers, I should be able to get my students revved up and accepting. When I plan for my lessons this week, I will be incorporating long division strategies with the hope that I will get little opposition because several of my students struggle with their multiplication facts. I also want to use more real-world problems that model more multiplication and division situations. I have already implemented the expanded notation method for multi-digit multiplication. This was well accepted and the students felt that it is a low-stress approach since it doesn’t rely on their memory of the multiplication table. By the end of this week, I will also introduce students to the partial product strategy and this is another strategy that doesn’t place any real emphasis on memorization of the multiplication
During the last 50 hours, Ashley has been working on learning the division facts and has learned to multiply 2 and 3 digit numbers by 1 digit with all combinations of regrouping. In both these areas she has built fluency. She moves through problems quickly with very few errors. The third grade standard is to be able to multiply and divide within 100. Ashley is currently multiplying within 1000.
Each lesson includes pre-instructional strategies, content presentation, learner participation, an assessment, and follow through activities. Instructional Theories and
Then I went to the main lesson which I did on the white board and I started with simple two step problems and got up to the four step problems with the parentheses so they could see me do it. After I was done, I had each student come up a couple of time to check their understanding of it, to me they seem to get it really well. I sent them home with homework to post assess them on the following Wednesday when I came back, I was surprised when they turned in the homework on how well they
Students would learn and become familiar with the Order of Operations and understand that they must do the work that is in the parentheses before continuing with the remainder of the problem. Another fun activity that the students could do for independent practice is ‘Fact Family Homes’. For this activity, students would be given three numbers; 2, 5, and 7; they would practice the addition first- 2+5=7 and 5+2=7 and then the subtraction- 7-2=5 and 7-5=2. The teacher would make six of these little homes on a worksheet and have different numbers and equations for the students to solve. One more activity that I would have the students work on to help retain the Commutative property of addition is a cut and paste worksheet.
Second, I would introduce a problem that the student might find interesting and excite their interest for the challenge of solving a long division problem. Third, I would model how to work through some long division problems with the use of material scaffolding in the form of the mnemonic device and guided examples mentioned in answer 4-B. Fourth, I would use the mnemonic device as a handout, and poster on a wall, to let practice my student practice long division problems with the mnemonic device as a reminder tool. The mnemonic device could be “Dad, Mom, Sister, and Brother,” which would stand for “Divide, Multiply, Subtract, and Bring Down.” I would also model and practice the guided examples with the student on a handout. Fifth, I would begin task scaffolding by walking through each step in solving long division using the mnemonic device provided above along with the guided examples.
Overall, the fundamental approaches shown in the video can provide educators with valuable data which can guide instructional procedures in the classroom. One approach shown in the video is station teaching. In this strategy students are divided into small groups and placed into stations. By using groups teachers can focus on different aspects of the curriculum, which builds upon previously learned material. In addition, station teaching breaks the traditional cycle of large group instruction and allows students to receive individualized attention.
In Math, Scott is working on developing a strategy to help him solve one-digit and two-digit multiplication problems. He has been exposed to the Bow-Tie method for two-digit, grouping and the array strategy for one-digit multiplication. He is doing very well at understanding and using the method to assist him in solving the multiplication problems. There have been improvements in his assessments by creating a strategy that works for him. After Scott has used the strategy over time, he will develop automaticity for solving the multiplication.
This quote proves the interest the children having in learning about these things. Rarely do fourth graders happily discuss arithmetic to any extent. Miss Ferenczi is a positive influence by teaching them to be excited about learning through the stories she tells them.
“13 Rules That Expire” by Karen S. Karp, Sarah B. Bush, and Barbara J. Dougherty, is a thought-provoking read because, for one thing, students do not actually know that these thirteen rules perish until someone notifies us. When I first read this article, it came to me as a bit of a shock. This is an article that all math teachers should read before teaching in a classroom. This article is about the rules that teachers use to teach math to younger students and how those rules will expire before they graduate from junior high school. Many teachers struggle with getting their students to understand math.
My Reflection of Real Talk for Real Teachers Real Talk for Real Teachers written by Rafe Esquith has been thought provoking as well as entertaining to read. I have learned a great deal from reading this book and I hope to implement a few of his ways in my future classroom. I can relate too many of the stories that have been told in this book because this is real life in a school environment. I would like to break my summary down chapter by chapter.
It is a viable tool for addressing the maximum participation of the child and can be a catalyst to ensure effective learning. Effective teachers use an array of teaching strategies because there is no single, universal approach that suits all situations. Different strategies used in different combinations with different groupings of students will improve learning outcomes. Some strategies are better suited to teaching skills and fields of knowledge than others. Some strategies are better suited to certain student backgrounds, learning styles and
Differentiation, with respect to instruction, means tailoring it to meet individual needs of the students. Teachers can differentiate content, process, products, or the learning environment, the use of ongoing assessment and flexible grouping makes this a successful approach to instruction. Teachers differentiate the four classroom elements based on student readiness, interest, or learning profile. (Tomlinson 2000). Differentiated instruction can be known as an organizing framework in teaching and learning which calls for a major restructuring in the classroom and syllabus, if done in the proper way, its benefits will transgress the costs.
Then I have them compare those numbers and turn them loose in a discussion forum format to think about, if your goal is this what do you do and if you goal is that what do you do and how you adjust. IN: That makes sense. To what extent to you ask them to think about, if they get a numerical answer for that, is that a reasonable answer. One of the things we struggle with as math teachers is that students will trust whatever comes out of a calculator or a computer. Do you talk with them at all about here is how to know if this is reasonable or you made an error.
The only way the behaviourist approach can successfully work is if the individual, or group of individuals, know they will be rewarded or punished. It’s how they place value on what the outcome of their actions will be and how much effort is put forth. While rewarding students who correctly answer the questions and achieve certain scores on tests can be beneficial in the short term, there are several other aspects that should be used to ensure that the students are capturing the information and are able to use it in the long term. When teaching students multiplication, the teacher must make the information meaningful to the students by tying it to how it would be utilised outside of the school. This will assist them in implementing multiplication
I will be flexible and open to changing my teaching style whenever it is needed. It is about what works for the student. Whatever method is chosen, it will not be the teacher talking and the kids passively listening. Students should be encouraged to reflect on the information at hand and think critically. The methods should be multicultural, effective, active and democratic.