Algebra and probability concepts in mathematics

ALGEBRA AND PROBABILITY CONCEPTS IN MATHEMATICS 2

Taking everything you have learned in this course and consolidating it into a meaningful portfolio you can

use as a resource in your classroom is the focus of this assignment. Your portfolio must include the

following (I have attached the chapters that we used and all of my assignments):

- Your mathography from Week 1
- How has your mathography changed because of this course?
- A 1-page explanation of what you have learned in terms of algebra, probability, and data analysis
- Examples from your readings over the past four weeks
- How are you going to change the way you teach?
- A 1-page explanation of how you are going to change the way you teach algebra, probability, and data

analysis based on what you have learned - Include strategies and ideas you gained from your readings over the past four weeks
- A list of activities, strategies, and online resources you will use in your teaching practice to meet the

diverse learning needs of students in your classroom. Please include justification for use of these

resources. - Include a brief description of each and include activities for each concept (algebra, probability, and data

analysis).

*If appropriate, include examples of student work illustrating the use of activities, strategies, and online

resources.

Question 1-Mathography

The study over the past few weeks has been fantastic. I have been able to pick various

concepts regarding successful actions that can help students perform better in mathematics. Most

of the students have a negative attitude towards the subject especially on the topics of algebra,

ALGEBRA AND PROBABILITY CONCEPTS IN MATHEMATICS 3

probability and data analysis (McKellar, 2009). This can be attributed to the ways of teaching,

and it is possible to change their attitudes by implementing some reforms.

Some fundamental reforms need to be adopted. The class has opened up my mind to

adopt the idea of using practical examples in the teaching process. Taking algebra for instance,

which is one of the major concepts applicable in real-life. The use of examples stimulates the

mind of the students and empowers them to associate the algebra concept with activities that they

can relate to (Van de Walle et al., 2013). This will lead to a better understanding since in the

class textbook reliance will be at a minimum.

Probability, on the other hand, can apply the use of theoretical and experimental analysis

to aid understanding. The example of baseball probability presented in the possibility of

perfection article. The article promoted the idea of using games where students can actively

participate to explore the concepts of probability. In the article, the aim was to calculate the

probability of perfect game occurring by analyzing data from previous games (Masse, 2001).

Leadership can play an important role in promoting a better understanding of

mathematics. Teachers should consider working as a team to help students understand various

ideas. Students may have a good understanding in one area and weakness in the other area.

Through collaboration, teachers can be able to share this information to promote mathematics

performance (Van de Walle et al., 2013).

The other idea that I learned is about generalization. Students have different abilities and

thus generalizing them leads to poor performance. Creating time to interact with students one on

one will help the tutor understand every student’s weakness and strength (Van de Walle et al.,

ALGEBRA AND PROBABILITY CONCEPTS IN MATHEMATICS 4

2013). This is important in the implementation of different strategies to aid each student to

understand the topic of algebra.

Question 2-Future changes in the way of teaching

Change is critical in improving the students’ performance in mathematics. Previously, I

have been relying on the course book content too much. The class session has been important in

enabling me to see the benefits of using real-life examples in teaching. I have learned that the

shift from textbook teaching to activities that the students can relate with is vital. The activities

create a positive attitude in the mind of the student and they can remember the concepts.

Furthermore, collaboration is important in ensuring that the teaching is effective. I will

influence my colleagues into adopting the leadership concept of teaching. We will work as a

team to help the students utilize their good skills in not only algebra but also other areas of

mathematics. The idea of working as a team can easily be embraced even by the students

themselves. They will be able to work with their classmates to improve on mathematics

performance.

Motivation will also play a critical role in teaching algebra. I will only inform the

students of the various exciting areas where probability, data analysis, and algebra are applicable.

Followed by providing some information for instance on how these concepts impact science and

technology. The aim of all this is to trigger interests among the students thus a change of attitude

(McKellar, 2009). Later on, I will challenge the students to explore further readings on the topic.

Lastly, I will embrace the idea of creating time for the students. Generalizing them is

wrong since the students have different capabilities. Some may need additional lessons and

homework that can help them improve their performance. The school schedule is a bit tight, but

ALGEBRA AND PROBABILITY CONCEPTS IN MATHEMATICS 5

it will not hurt to create a few minutes to help my students, as their success will bring me

satisfaction and joy. Teaching is a noble task and taking the opportunity to help the learners is

essential. The implementation of the lessons learned from this class will be quite helpful in my

next step of delivering probability, algebra, data analysis concepts and other areas of

mathematics.

Question 3-List of activities, online sources, and strategies for learning

Learning involves the use of various strategies, integration of various activities and

online sources of analysis to ensure better understanding. Teaching alone cannot yield the best

results. The use of activities such as exercise and social interaction with other students can help

them to refresh their minds. This will prepare them for the next class especially when it comes to

mathematics.

The students should also be grouped into teams that can help them analyze various

concepts and provide solutions. Discussions are considered to aid better understanding of ideas

since the students get the opportunity to share various methods to obtain a solution. The students

can also be encouraged to answer questions in class by rewarding them points that will

contribute to their final grades on the subject. This will create confidence in the students and

prepare them psychologically to handle more complex tasks.

The world has become so dependent on the digital platform. This tool can be used to

promote mathematics in schools. The use of a social media platform, for instance, can help

students communicate with their colleagues from different parts of the world and thus develop

better ways of improving their performance. Other teachers in the school and students can also

share online sources. This will aid them to gain a better understanding of the various

ALGEBRA AND PROBABILITY CONCEPTS IN MATHEMATICS 6

mathematical concepts. The students to search for more explanations on the concepts of

probability, data analysis, and algebra can also use the Internet.

Strategies such as the use of exams and tests can help in analyzing the student’s abilities.

Assignments can also be given out to groups and also to individual students to gauge their

understanding of the concepts. The use of practice questions will play a significant role in

ensuring the students develop a positive attitude towards mathematics and thus increase their

performance. To ensure, that the students understand the algebra and probability concepts. I will

give them a test after every unit on the subject before progressing to the next unit.

Question 4-Brief explanation of activities in algebra, probability and data analysis

In algebra, the use of some activities such as metacognitive process helps in promoting a

better understanding of concepts. This is mainly meant to enable students to interpret basic

aspects before moving to complex concepts. Teachers should always aim at giving exercises that

can analyze the understanding of the students. The results can, after that, be used to gauge the

students to know the next level of algebra they can handle.

Probability is an interesting concept. The use of activities such as story solving and

predicting future performance can help in promoting a better understanding of the concept. The

use of real-life examples, in this case, is critical since it makes the algebra concept clear and

makes them easily recall them during exams. Interpreting other complex questions relating to

probability is made easier, and thus students can develop a positive attitude to the concept and

even do the same to other topics in mathematics discipline (Van de Walle et al., 2013).

Data analysis is applicable not only in the career world but the personal lives of

individuals as well. The use of assignments, in this case, is critical especially for a group setting.

ALGEBRA AND PROBABILITY CONCEPTS IN MATHEMATICS 7

The students are likely to interpret and share their ideas, which can help in eliminating errors.

Some students are outstanding in interpretation while others are good in calculations. Putting

together the different students will ensure that they utilize their skills to come up with the best

solution while helping each other deal with their weaknesses in data analysis. There is no

limitation to which form of activity a teacher can apply and therefore, it is important to analyze

the student skills before employing the activities. Probability, algebra and data analysis can be

more interesting if the inclusion of relevant activities is made (Kelly, 2014).

Question 5- Examples of student work using different activities, strategies and online

sources.

Students can apply different activities, strategies, and online sources to aid them to

understand the mathematics concepts. The use of fieldwork research, for instance, can aid in

analyzing various concepts in algebra, data analysis as well as in probability. Fieldwork research

is involving and triggers the interest of the students in learning algebra and mathematics. By

allowing students to get out more, they will be able to obtain first-hand information regarding the

importance of changing their attitude towards this important discipline.

Strategies such as exams and continuous assessment tests can be given out frequently.

Employing tests at the end of each week, for instance, is critical in assessing the level of

understanding different levels of algebra. The rule of multiplication and addition in algebra, for

instance, can be tested at the end of each lesson to assess each student’s weakness. Use of

assignment can be alternated with test also to test on subtraction and divisions concept of algebra

(Kelly, 2014).

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Online sources such as the provision of links to relevant and reliable sources for further

reading can help students with data analysis. Class work alone cannot guarantee a 100 percent

pass but using other alternative learning tools such as online sources can improve performance.

Students should also be encouraged to share information on their learning with students from

other schools for instance on Facebook. Time should not be wasted in irrelevant chats, but

instead, it can be used to promote a better understanding of the mathematics subject. Research

indicates that young people like online communication and thus this can be used to promote

improved performance in mathematics. There is no perfect way of supporting learning, but the

combination of these alternative-learning methods can help in improving the student grades.

(Judge, 2015)

References

Judge, S., Floyd, K., & Jeffs, T. (2015). Using mobile media devices and apps to promote young

children’s learning. In Young Children and Families in the information age (pp. 117-

131). Springer Netherlands.

ALGEBRA AND PROBABILITY CONCEPTS IN MATHEMATICS 9

Kelly, A. E., Lesh, R. A., & Baek, J. Y. (Eds.). (2014). Handbook of design research methods in

education: Innovations in science, technology, engineering, and mathematics learning

and teaching. Routledge.

Masse, L. (2001). The possibility of perfection. Mathematics Teaching in the Middle School,

6(9), 500-506.

McKellar, D. (2009). Kiss my math (1st ed.). New York, NY: Penguin Group.

Van de Walle, J. A., Karp, K. S. & Bay-Williams, J. M. (2013). Elementary and middle school

mathematics: Teaching developmentally (8th ed.). Boston, MA: Pearson Education, Inc.