Bottge, B. A., Heinrichs, M., Mehta, Z. D., Rueda, E., Hung, Y. H., & Danneker, J. (2004). Teaching Mathematical Problem Solving to Middle School Students in Math, Technology Education, and Special Education Classrooms.RMLE Online: Research in Middle Level Education, 27(1), 1-17.
There were two instructional approaches, Enhanced Anchored Instruction (EAI) and text-based instruction (TBI), compared in this study. Both teaching methods were used to teach sixth-grade middle school students how to solve math problems in technology, special education classes and math classrooms.The purpose of this study was to compare the students math achieves in different academic settings regardless of a disability.
In conclusion, the results show that the students were able to learn using both instructional approaches.. The text based instruction students did better on the word problem test, while the enhanced anchored instruction students scored high on the video problem test. EAI students were able to use the prior knowledge learned in their math class, to transfer knowledge in the technology class.
There were a plethora of weakness or limitations to the finding of the study. The students were not able to be random because of school scheduling. Some scores were not able to be analyzed because of the small groupings. The number of students kept changing due to transfers and absences. A strength the study had was that the technology education teacher was able to use some of the concepts
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Also, the amount of teachers qualified was a concern. The ratio of student to teacher in the classroom was an issue. Many classrooms were overcrowded which makes it hard for teachers to focus on students individually if assistance was needed. Teachers in turn were not able to receive assistance from teacher aides. Strength of all individuals is culture. The ethnic background of the children was taken into consideration. Federal funding was used to provide more training to teachers in relation to cultural competency and technical skills. The teachers will take into consideration a child’s culture and their ability to learn and retain information. In addition, the use of technology provided a full range of technical skills to analyze data to improve quality of decision-making skills and classroom experience (United, 2010).
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
Every day, mathematics is used in our lives. From playing sports or games to cooking, these activities require the use of mathematical concepts. For young children, mathematical learning opportunities are all around them. Knaus (2013) states that ‘Young children are naturally curious and eager to learn about their surroundings and the world they live in’ (pg.1). Children, young and old, and even adults, learn when they explore, play and investigate. By being actively involved, engaging in activities that are rich, meaningful, self-directed and offer problem solving opportunities, children given the chance to make connections with their world experiences (Yelland, Butler & Diezmann, 1999). As an educator of young children,
Sarama, J., & Clements, D. H. (2006). Mathematics in kindergarten. (61 ed., Vol. 5, p. 38). YC Young Children. Retrieved from http://media.proquest.com.ezproxy.apollolibrary.com/media/pq/classic/doc/1129349361/fmt/pi/rep/NONE?hl=&cit:auth=Sarama, Julie;Clements, Douglas
In Texas students test scored were being tested and compared to the use of technology in the classroom. They used at-risk students who fell into specific categories to be the test group. These were students who have failed this type of test in the past. One teacher received eight classes worth of these at-risk students and used technology integration every day. The idea was to try to link the use of technology to passing the state English test. By using at-risk students the author had a wide range of test subjects, which included: students with low grades, not maintaining above a C average, student is pregnant or a parent, in an alternative program, student dropped out of school, has limited English proficiency, troubled home life and has family issues or homeless. The author wanted to find out if a technology-rich environment had an effect on state mandated scores of students. Her test subjects were the at-risk students.
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).
This interview also showed me that not every child will be able to understand mathematical problems the same. Certain students may require more attention and extra help and it is very important not to let that child get behind. Especially in Elementary school, everything the children learn will be needed for the future lessons because math problems continue to get more complex and require previous
This article described the how a group of educators came together to introduce problem solving to third-grade students throughout the year as a means to teach other concepts instead of just teaching this concept when it was reached in the textbook. The educators were in groups of three with a mathematical consultant. During the course of this project the educators met with the mathematical consultant every four weeks to discuss how students responses and their presentations. During these meeting the educators would often make adjustment to better fit the students. The article contained subsections about the special spark, the before, during, and after of the problem
Rivera-Batiz (1992) stated, “Mathematical achievement of individuals strongly predicts their success later in life.” Watson & Gable (2012) mention that basic academic skill are fundamental to long-term academic success and, on a post-secondary level obtaining employment in a highly competitive job market.” National Longitudinal Transition Study-2 (NLTS-2); ( Newman, et al., 2011) stated that more than three quarters of youth with disabilities test below the mean. Far less information is attainable on mathematics than reading instruction (Gregoire’ & Desoete, 2009). The same report mentioned that 45% of students with disabilities compared to 25% of their typical peers complete a below standard curriculum. What makes mathematics a strong
When educating students, it is essential to their growth, that teachers have the ability to learn and grow with their students. Every child learns, thinks, and comprehends differently; therefore, the same material should be taught in multiple ways. For example, in my Math 106 class, all students solve the same problem, the teacher then has a few students explain and depict the different ways they received the correct answer. When a student has a difficult time explaining their method, Mrs. Graybeal provides encouragement and guidance; thus. Also, students who are having a difficult time solving the problem used one of the methods provided by a peer to help them comprehend and solve the problem. Math 106 teaches future educators the
Technology is deemed a strength but it is also a weakness because the tools used are outdated or the system does allow teachers to have more control of the students chrome books outside of school, so even though they are sent home, some students are still fallen behind academically.
Maths is ubiquitous in our lives, but depending on the learning received as a child it could inspire or frighten. If a child has a negative experience in mathematics, that experience has the ability to affect his/her attitude toward mathematics as an adult. Solso (2009) explains that math has the ability to confuse, frighten, and frustrate learners of all ages; Math also has the ability to inspire, encourage and achieve. Almost all daily activities include some form of mathematical procedure, whether people are aware of it or not. Possessing a solid learning foundation for math is vital to ensure a lifelong understanding of math. This essay will discuss why it is crucial to develop in children the ability to tackle problems with initiative and confidence (Anghileri, 2006, p. 2) and why mathematics has changed from careful rehearsal of standard procedures to a focus on mathematical thinking and communication to prepare them for the world of tomorrow (Anghileri).
Mathematics, like every creation of man, have evolved without really knowing how far you can get with them: the scope of the computer, physics, chemistry, algebra, all are evidence of this. Every aspect of our culture is based in some way or another in Mathematics: language, music, dance, art, sculpture, architecture, biology, daily life. All these areas of measurements and calculations are accurate. Even in nature, everything follows a precise pattern and a precise order: a flower, a shell, a butterfly, day and night, the seasons. All this makes mathematics essential for human life and they can not be limited only to a matter within the school curriculum; here lies the importance of teaching math in a pleasure, enjoyable and understandable way. Mathematics is an aid to the development of the child and should be seen as an aid to life and not as an obstacle in their lifes.