On the second day of class, the Professor Judit Kerekes developed a short chart of the Xmania system and briefly explained how students would experience a number problem. Professor Kerekes invented letters to name the quantities such as “A” for one box, “B” for two boxes. “C” is for three boxes, “D” is for four boxes and “E” is for five boxes. This chart confused me because I wasn’t too familiar with this system. One thing that generated a lot of excitement for me was when she used huge foam blocks shaped as dice. A student threw two blocks across the room and identified the symbol “0”, “A”, “B”, “C”, “D”, and “E.” To everyone’s amazement, we had fun practicing the Xmania system and learned as each table took turns trying to work out problems. …show more content…
Our team represented the Xmania system through cubes boxes. Our team had one member who wasn’t present on the first day, so we had to first teach him about the operations in application Xmania before proceeding. We worked together as a team to reconstruct the Xmania system for our presentation. We took a few minutes in silence then debated about possible number systems using only the five symbols given and how it relates to the Xmania. As a group, we decided on using the example: “AA + E = B-. We wrote down on the paper about the rules for our number system and explained how to inscribe a small and big number in our system through a number-line. We also presented on how to do a basic arithmetic such as adding. We remembered to design a representation of the symbols to explain our basic understanding of the Xmania system through our poster for the class to view. We were prepared for any inquiry from the students about our concept but everyone understood our points. I felt my participate in the class discussion was adequate for our presentation but I applied more with focus and care in design the Xmania chart and in result, our presentation went
The assessment that I have chosen for my lesson is a “card sort”. I will have eight graphs copied on card stock ready for the students to cut out. They will analyze each graph, match it to a scenario, and tape it next to the scenario it matches. For each graph, the students will label the x- and y-axes with the appropriate quantity and unit of measure. Then, they will write the title of the problem situation on each graph.
The lesson is about knowing the concept of place value, and to familiarize first grade students with double digits. The students have a daily routine where they place a straw for each day of school in the one’s bin. After collecting ten straws, they bundle them up and move them to the tens bin. The teacher gives a lecture on place value modeling the daily routine. First, she asks a student her age (6), and adds it to another student’s age (7). Next, she asks a different student how they are going to add them. The students respond that they have to put them on the ten’s side. After, they move a bundle and place them on the ten’s side. When the teacher is done with the lesson, she has the students engage in four different centers, where they get to work in pairs. When the students done at least three of the independent centers, she has a class review. During the review she calls on different students and ask them about their findings, thus determining if the students were able to learn about place value.
The teacher should, at this point, make sure to explain all the relevant symbols to the students. This helps to ensure that everyone is on the same page.
As this was a review of the chapter before our test, students overall did a good job applying the skills we have learned throughout this chapter. Every single one of my students can correctly identify a number based on the tens and ones, and can find the tens and ones of any given two digit number. I did not have any student fail to identify if a number was greater than or less than another number. In retrospect, I realized that during this lesson I placed very little emphasis on the greater than and less than signs themselves, but this was a large component of the independent practice work. Overall, I have been impressed with the learning progress my students made during this chapter. It was a quick chapter with only 5 lessons, but students moved quickly and comfortably through the content.
This helped so much because the students were able to concentrate and listen when the evaluations were of benefit to them especially if it could count on their grades learnt that presentations are so important because you get to learn so many things as you present from your fellow peers.
numbers 1 to 9 and 0, and the words yes and no. A smaller board, shaped like a
...t well and sounded good? I would like to think that the numbers are like art in the sense that they affect us in different ways.
In my Teaching Professions with Field Experience class, we were to create two lesson plans throughout the semester; one that involved the use of technology and the other without. The rules that went along with the lesson plans were as follows: the speaker is supposed to act out the lesson that they have prepared and their classmates were supposed to act accordingly to what grade level the lesson pertained to. Lastly, during the presentations, the students were to write three good qualities the speaker or the presentation had. In addition, they had to write one wish which was something a student thinks would make the lesson better. For the first project lesson I constructed, I incorporated the use of technology to discuss the identification and use of monochromatic colors for the sixth grade level.
All children learn differently and teachers, especially those who teach mathematics, have to accommodate for all children’s different capacities for learning information. When teaching mathematics, a teacher has to be able to use various methods of presenting the information in order to help the students understand the concepts they are being taught.
structures he had never seen before. The type of numbers he was used to had
Countless time teachers encounter students that struggle with mathematical concepts trough elementary grades. Often, the struggle stems from the inability to comprehend the mathematical concept of place value. “Understanding our place value system is an essential foundation for all computations with whole numbers” (Burns, 2010, p. 20). Students that recognize the composition of the numbers have more flexibility in mathematical computation. “Not only does the base-ten system allow us to express arbitrarily large numbers and arbitrarily small numbers, but it also enables us to quickly compare numbers and assess the ballpark size of a number” (Beckmann, 2014a, p. 1). Addressing student misconceptions should be part of every lesson. If a student perpetuates place value misconceptions they will not be able to fully recognize and explain other mathematical ideas. In this paper, I will analyze some misconceptions relating place value and suggest some strategies to help students understand the concept of place value.
After this project I would seriously consider not doing any projects in my classroom. But I need to remember this is only one experience (and my first one at that.) Not all projects need to go this way. Having had this experience can help me make sure I don’t have similar ones in my classroom.
Observation: Teacher goes over to student struggling with math worksheet. Brings over abacus and sits next to him. Begins to demonstrate. “Now how many do we take away?” child is the one to show the math on abacus. “Now how many are left?” prompts child to count the rings in order to figure out problem. Slides first number over, gets student to take away the right number. Then counts the remaining to get the right answer.
The early acquisition of mathematical concepts in children is essential for their overall cognitive development. It is imperative that educators focus on theoretical views to guide and plan the development of mathematical concepts in the early years. Early math concepts involve learning skills such as matching, ordering, sorting, classifying, sequencing and patterning. The early environment offers the foundation for children to develop an interest in numbers and their concepts. Children develop and construct their own meaning of numbers through active learning rather than teacher directed instruction.
Also, in the beginning of the lesson I gave the students clear directions of what I expected of the students. I had the students repeat the expectations back to me which was a success since they understood and did what was expected. After the activity, the students were supposed to complete a word sort and then a writing prompt. During the writing and the sort, I did not give clear instructions which affected the students and how they completed the assessment. The next time I teach a lesson, I need to focus more on directions and giving detailed