1.2 Literature review
Historical context and basic Principles
Even if nowadays the majority of our population is familiar with the terms digital (or online) software and tools, there is still a sample of people (or teachers) who are quite uncertain of what is available in mathematics teaching. According to Drijvers et al (2010; cited in Ruthven, 2013) a “Digital Mathematics Environment (DME)” can help teachers and students with various materials and tools of technology. Some of them can be: Games, GeoGebra and Cabri software, Spreadsheets, Web (Internet) and online software/applications (also known as Mathematical Applets), found in Monaghan (2014).
What has been improved in Mathematics education, especially with the Internet’s
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In other words, the teacher has to organize and use artefacts (i.e. tools, objects) in a DME, with specific mathematical tasks, so as to guide his/her students’ instrumental genesis with i.e. selection, decisions, teaching strategies (Trouche, 2004; cited in Drijvers et al., 2010). However, students’ skills, such as thinking, explaining or discussing (Borba et al, 2013) can be established with or without the use of online material; it depends on teacher’s abilities and efforts.
What is an instrumental genesis though? It is a well-known term, which describes the process of “learning [or] problem solving” (Guin & Trouche, 1999) of a student, who accomplishes to “master” and get knowledge of and from the use and experimentation of an artifact/tool; i.e. online material, MAs, Interactive White Board, etc. (See Figure below).
Instruments, can relate to digital tools, in different forms and for different purposes, so the teacher may make the appropriate selection and evaluation. Therefore, technology could be used through “six major opportunities” in teaching/learning mathematics: learning from feedback; observing patterns; seeing connections; exploring data; teaching the computer; developing visual imagery” (National Strategies, 2009; cited in Pope, 2013), through “interactive software on CD, or online” techniques.
In view of the above, we can conclude that teachers can nowadays
Eyyan, R. (2014). Impact of use of Technology in Mathematics Lessons on Student Achievement and
Technology is also very important with a student’ education. There are so many uses for technology that can show beneficial for both Asian students and United States students. Throughout the United States there is a wide variety of technology available for teachers. Mathematics Analysis Software, like scientific calculators, function graphers, and geometry packages are made available for students. Since the 1990’s a change in mathematics education has taken place because of the implementation of new ways to help students understand math a little better. This new way helps to implement information technology advancements (Tcheang, 2014).
An interesting study that was done to compare concrete manipulatives to virtual ones showed that despite having the technological conveniences of today’s world, student teachers of this study preferred the ease and tangible effects of using concrete manipulatives. The 2011 study was conducted on 78 aspiring middle school math teachers. The student teachers met twice a week to work in groups while using concrete manipulatives including pattern blocks, fraction circles, Cuisenaire rods, two-color counters, and color tiles with a chip abacus. They followed this instruction with corresponding assignments while using virtual manipulatives. The student teachers were then directed to complete survey of questions that would compare both methods of
A manipulative is often used in many ways to teach mathematics such as basic addition, fractions, decimals, order of operations. To name a few manipulatives; blocks, cards, number tiles, counting tubes, etc…A manipulative can be taught either concrete (hands-on) or virtual. Hands-on manipulative models are physical objects such as base-ten blocks, deck of cards, Dice games, and Algebra tiles. A virtual manipulative is a technology that models the existing manipulatives such as base ten blocks, rulers, fractions bars and algebra tiles to name a few. These manipulatives are in the form of Java or Flash applets, a web base technology.
In any classroom, a teacher is perhaps the most important aspect. S/he does all the planning, assessing, and facilitating of discussions. However, a teacher’s biggest mission is to ensure that students understand the mathematical concepts, but not assisting so much that the students feel they are not allowed to create their own methods (Hiebert, 1997). To do this, the teacher must select her tasks with a goal in mind. Often teachers are taught to blindly follow the state curriculum and scripted lessons. However, it is important that these lessons are placed in a sequence that is consistent with what the teacher wants the students to learn (Hiebert, 1997). When teachers select their tasks, they must be familiar with their students’ funds of knowledge and choose lessons and ideas that are consistent with their students’ level of thinking. Selecting lessons in this manner allows teachers to better anticipate the way students may answer the problems. It is also a teacher’s job to share relevant information with the class. This includes mathematical conventions (such as symbols, numbers, operations, and special vocabulary needed to solve problems) as well as alternative methods (Hiebert, 1997). However, it is important to remember that while students may benefit from learning different methods, they should not be forced to change their methods to better align with the standard way of solving the problem. Essentially, sharing relevant information includes supporting students as thinkers and problem solvers and helping them learn important mathematics (Hiebert, 1997). Teachers must also establish a classroom culture. This includes focusing on methods as well as adopting an appropriate position of authority. Students should share, analyze, and improve their ways of thinking and teachers need to know when to step back and let the students struggle with the problem – especially when it comes to telling students
In a world filled with technology, it has become increasingly important to incorporate technology based-teaching in the classroom. As new technologies enter the classroom the question is raised as to how these technologies can be used to build math skills.
“Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students’ learning.”(McGehee & Griffith, 2000). Similar to McGehee and Griffith, Ghosh (2012, cited Drijvers, 2016) believes that the integration of technology and ICT has suggested a positive impact on the achievement of students in the general algebraic education but in particular solving word problems.
The teacher used different tools to enhance the math instruction that this lesson entailed. During the whole group discussion, she used
There is a growing trend in the use of technology in the classroom. As a teacher, I am always looking for ways to use manipulatives in my lessons to increase meaning and authenticity for students. I would love to keep my students engaged, motivated and interactive in the classroom and still be able to get through the content each day. In order to achieve this, I need to have an arsenal of tools to draw from. That is why I agree with (Tataroglu & Erduran, 2010) as stated in the International Electronic Journal of Elementary Education (IEJEE) that “The use of technologies like IWBs in the classroom can provide teachers and students convenience and variety. “
The participants additionally considered utilizing the motion skill of the tangible technologies on the subject area Math. For instance,the teachers noted to utilize Sphero and Cubetto follow the outlines of a line, which might be curvy or straight, and
Novice teachers who want their students to "construct" a particular idea, often ask for the idea from their students, consciously or unconsciously hoping that at least one student will be able to explain it to the others (Simon, 1991 ).
There are many benefits from using technology as an instructional tool in the mathematics classroom. Math is not an easy subject for every student to grasp, there are some students who find that math is as easy as counting “one, two, three”, but for other students first learning math could look like a foreign language. There are many techniques that teachers use for the student to be able to quickly learn and understand, but one of the best ways is to incorporate technology into the lesson. Even if it means teaching the lesson through technology or allowing the student to play online games to allow them to have fun while learning and when it comes time for a test they can refer back to this specific lesson and remember that
Active: Teachers can start using technology not only to deliver a lesson but also let students to engage with the technological tools. For instance, using smart-board is becoming more popular day by day, and teachers are using it in their teaching activities. However, just showing videos on smart-boards to students relevant to the context that they are learning will not enhance students’ engagement and learning. Thus, teachers can allow students to deliberately engage with technological devices. For example, while teaching numbers, instead of just showing the numbers and the objects, and asking them to calculate, teachers can give them opportunities to draw numbers with their hands on smart-board. In this case, as they will be engaging with the technological device, their attention will be higher, and they will learn easier.
Education is one of the most important professions in the working world. Technology has done many things for us in today’s society especially for education and schools. Technology in the school system has impacted the students and teachers in many positive ways, including virtual field trips, testing tips, teacher resources, class web sites, and lesson plans. With computer use in our schools, we have access to many different sources and various types of learning.
The numbers of technological devices that can be used to manipulate information and improve student education is increasing every day. Teachers and students have commonly used technological tools for educational purposes, such as Microsoft PowerPoint and Word for their papers and presentations (Sadik, 2008). Today, however,