Intermediate Algebra Background for Martha:

Intermediate Algebra

Background for Martha:

No known learning aids needed outside of standards equipment i.e. calculators, rulers, etc.

Ability to utilize critical thinking skills in association with algebra

Have the ability to calculate algebraic equations with a calculator as needed

Have a basic understanding of all algebraic equations necessary to have comprehension of the subject matter at current grade level and being able to apply concepts to real world applications.

Ability to utilize outside resources i.e. internet to conduct research regarding algebraic terms and other necessary Algebra related information as needed

Supporting information for set goals

HT Media Ltd. (2007) explains the significance behind why critical thinking skills play such a detrimental role in math as well as other subject matters. They report that Over 75% of the top 100 fastest growing jobs in the next five years will be in fields that require a basic or advanced knowledge of math, science, or engineering principles. The report interviewed a chancellor that stated:

Students also need "the ability to analyze problems and think critically," according to Chancellor Herzog. The DOL report defines critical thinking as the "use of logic and reasoning to identify strengths and weaknesses of alternative solutions, conclusions or approaches to job-related problems." "Our advisory panels and workforce data tell us that, like math and science skills, critical thinking must be integrated into our curricula," Chancellor Herzog said. Active learning, judgment and decision-making are skill requirements which follow critical thinking in importance.

2b. The use of tolls i.e. calculators prove to be significant even outside premise of algebra. Researchers report that it is in fact a necessity that educators insure that students have access to and the knowledge to use all tools associated with a subject he or she is teaching. Research also explains the significant bonuses associated with programs that in fact support and utilize technology within a subject matter. The use of advanced technology can also bring another level of interaction between the student and the subject matter, while allowing the teacher to also incorporate other skills necessary to be success.

Moreover, non-state-governed educational institutions are taking responsibility for their technological development as the institutions begin to realize that building infrastructures that are supportive of technology not only create more favorable teaching and learning environments, but also help attract more students. Of course, there are more technologies available to students than those that can be provided by the institution. In the same way students bought calculators on their own prior to their institution's making the equipment readily available in the classroom, students are buying Personal Digital Assistants (PDAs) like Palm Pilots, Handsprings and Pocket PCs to help in their course work without any prompting from their schools' administrations. In the distributed learning network, schools will eventually see a value for devices like these and provide them as readily as they do calculators for specific learning tasks (Olliges, 2003).

3b. One method that can be utilized to help Martha with applying algebra to real world application is through interactions within her environment that will allow her to utilize these skills. Another method proven useful in building applicable skills and communication is online conferencing. This tool utilized in the class room can give Martha access to knowledge from other professors and learners that could not normally be possible in a standard classroom. A professor that may specialize in a specific method on how to understand certain terms or expressions would be able to share these applications with students globally through virtual conferences. Technological Horizons (1993), recant the significance of videoconferencing by reporting that the characteristics of videoconferencing may actually enhance the learning process. Teachers and administrators say that students who take distance education classes are scoring higher on basic skills tests than those who are in the same classroom with an instructor. One side benefit to delivering classes through interactive video is increased socialization among the students