Sunday, January 26, 2025

 

A SUMMARY OF THE ‘VERBIFICATION OF MATHEMATICS" BY LISA LUNNEY BORDEN

The passage discusses the challenges faced by indigenous students, especially Mi’kmaq students, in learning mathematics due to the cultural and linguistic differences between their traditional ways of knowing and the dominant Western approach to mathematics. The author, Lisa Lunney Borden, shares her experiences teaching in a Mi’kmaw community school and how she adapted her teaching methods to better support her students’ learning.

The author highlights the importance of language in shaping our understanding of mathematics and how the verb-based structure of Mi’kmaw language can provide a unique perspective on mathematical concepts of “verbification” as a way to transform mathematical discourse to be more consistent with indigenous language structures.

The passage also discusses the importance of decolonizing education and recognizing the value of indigenous knowledge and perspectives. The author argues that by incorporating indigenous ways of knowing and language structures into mathematical education, we can create a more inclusive and effective learning environment for indigenous students.

 

STOP 1

“Coming together to learn together” (Lisa Lunney Borden, page 9)

I stopped at this quote because it reminds me of how my Head of Department used to fix dates for teachers to have an in-house workshop to brainstorm on better ways of handling some concepts in mathematics. Teaching is a profession where continuous learning and collaboration are essential. No single teacher has all the answers or knows everything about the vast and ever-evolving field of education. Each brings unique experiences, expertise and perspective to the table. There is need for teachers who are the expected custodian of knowledge to improve themselves as a result of the evolving educational standards, technological advancements, diverse student’s needs, pedological innovations and challenges faced in the teaching of math, it is necessary for teachers to team up with one another through workshops, focus group, brainstorming sessions and round table discussions just as it was done in the Mi’kmaq community. 

Question: What are some recent professional development experiences you have had, and how have they impacted your teaching?

 

STOP 2

“Understanding how the language was structured would enable teachers to better understand how student mind thinks about a mathematical concept.” (Lisa Lunney Borden page 10)

I find this interesting when in the writers ten years of teaching in Mikwaq community, the student’s accusation of crazy talk reduced because she shifted her way of explaining concepts to be more consistent with the verb-based structure of Mi’kmaq even though she taught in English. As teachers there is need to understand our students background so that we can center our teaching around their level. In the writers teaching on shapes, she gave the students clue on how to find the properties of shapes by guiding them and deliberately using action activities. I remember when I taught fractions in my previous school, I had discussions with my students on what a fraction is, I` turned the class into an action class by engaging the students, we had to act it out. I divided the students into groups to show halves, thirds, or quarters. HI helped them to understand that fraction is part of a whole.

 

Question: do you think there will be any significant difference using in using verb- based language instead of noun- based language in teaching of mathematics concepts?

 

Sunday, January 19, 2025

 

THE LINGUISTIC CHALLENGES OF MATHEMATICS TEACHING AND LEARNING

SUMMARY

Mary. Schleppegrell (2004), brings attention to the language difficulties that students may face when attempting to understand mathematical concepts and the educational strategies of overcoming these difficulties.

M.A.K Halliday ,1978, views on Mathematics register highlights the unique language and notation used in mathematics and this has helped in reducing the problems in assisting students move from everyday informal ways of perceiving knowledge into technical and academic patterns.

Halliday & Mattiessen,2004 and Schleppgrell (2024), highlighted the features of a Mathematics register as having the multiple sematic system (which deals with the use of various modes of communications in mathematics like symbols, graphs, charts etc.) and the language of grammar (entails the specific language structures used in Mathematics) as vital for Mathematics learning.

She also said that understanding the specific structures used in mathematics is vital for effective learning. It is essential to note that a way of occupying and assisting students in their learning is by emphasizing on the features of the language on the basis of which mathematics is constructed.

She also said it is important to say that the notion of Mathematics register and recognition of the role of language in mathematics teaching and learning are vital.

 

Stop 1:

Quotation: “A key challenge in Mathematics teaching is to help students move from everyday informal ways of construing knowledge into the technical and academic ways that are necessary for disciplinary learning in all subjects”. M.J schleppegrell,2004,page 140.

Explanation: This quote excites me because it reminded me of Asiya’s illustration in class on the 15th of January,2025, about the challenges she had back home. She had to relate the physics term ‘omega’ to the student’s using ‘W’ for a clearer understanding. Another memory was when I was teaching my students about fractions and had to figure out how to make the topic more explicit by cutting a cake in pieces to illustrate ideas on fraction as being part of a whole.



Question: How do you use formative assessments to inform your instruction and adjust teaching strategies.

 Stop 2:

Quotation:” Languages, mathematical expression and visual diagrams, as well as the gestures and actions of participants in the classroom together constructs meaning, and “…It is only by cross – referencing and integrating these thematically by operating with them as if they were all component resources of a single semiotic system, that meanings actually get effectively made and shared in real life “(Lemke 2003 page 227) as stated in (M.J Schleppegrell 2004 page 142).

Explanation: this explains that when teaching in our classroom it should not be stereotype, there should be an interplay of many resources to help the students understand better. In our previous EDCP 553 class, Susan used various techniques and materials ranging from our contributions on the register of M.A.K Halliday, the writings on the board from our contributions, our discussions about our daily teaching experiences and even the video clip.  

Question: can you provide more examples of how teachers can use technology to support multiply modes of learning in the classroom.

 

Stop 3:

Quotation: “one way of to encourage students’ development of extended ways of talking about math is by having students talk with each other” (M.J Schleppeggrell,2004, page 148)

Explanation: This is so true, when a teacher allows the students to have peer- to -peer discussions about math concept it develops more elaborate ways of communicating mathematical ideas. I have discovered that students learn faster and better in mathematics when they discuss among themselves. I remember in my last online class on areas of circle, squares and rectangles, the students had fantastic ideas on how to solve this topic and these made it easy to complete our lesson objectives for the day.



Question: Is it possible for the peer-to-peer discussion in the classroom to disrupt teaching and learning activities? If yes, what measures can the teacher take to advert it.

 

Wednesday, January 15, 2025

Stop 1:

Quotation: "Not Unnaturally, the members of a society tend to attach social value to their languages according to the degree of their development. A language that is developed is being used in all the functions that language serves in the society, while an undeveloped language is accorded a much lower standing even by those who speak it as their mother tongue”. Extract from M.A.K Halliday,1978 register, page 194.

Explanation: This quote is a typical explanation of what is happening in my Country, Nigeria. We have over 500 languages with over 250 ethnic groups. English is the most acceptable language used in communication in all facets of our lives, even in schools, market areas, places of worship and our homes because it is our first language from the the developed world. Do you know that, even within Nigeria, There are three recognized languages, namely, Hausa, Igbo and Yoruba. People are classified among this three based on the region of Nigeria, they are from. I am actually an Urhobo lady but because I am from the south-south region, I am called an Igbo. This is because the Hausa, Igbo and Yoruba languages were first noticed by the British during our colonization.


Stop2:
Quotation: "Every language embodies some Mathematical meanings in its sematic Structure" from M.A.K Halliday,1978 ,page 195.

Explanation: This reminds me of how the meaning and interpretation of Mathematical symbols, expressions was used in my teaching of "set theories" in the classroom environment. symbols such as 'U' for union of two sets, "n' for intersection of two sets and { } for empty set. For example, instead of saying that, If A is set of apple, orange and Bananas and B is a set of spoon, fork and knife. Find the union and intersection of the two sets. I can say, given that A= {apple, orange, banana} B= {spoon, knife, fork}, then A U B = {apple, orange, banana, spoon,fork,knifes} which entails all the elements in A and B. while A n B = { } which means only the element common to set A and B which obviously is an empty set. .



Stop 3:
Quotation: “Perhaps for this reasons there is a feeling shared by many teachers and other concerned educators that learning ought to be made less dependent on language teachers of Mathematics, in particular emphasize the importance of learning through concrete operations on objects. This is a positive move. At the same time there is no point in trying to eliminate language from the process altogether" of M.A.K Halliday register ,page 203

Explanation: I find this statement very interesting because language gives an avenue for a more concrete way of learning in Mathematics, for example instead teaching the two multiplication table in a recitation method, e.g. ,2 X 3 = 6, I can say, if two mangoes are given to three students each ,how many mangoes have i given out altogether.



Wednesday, January 8, 2025

Mathematics Language





Stop 1:


Quotation: “Not Unnaturally, the members of a society tend to attach social value to their languages according to the degree of their development. A language that is developed is being used in all the functions that language serves in the society, while an undeveloped language is accorded a much lower standing even by those who speak it as their mother tongue”. Extract from M.A.K Halliday 1978, page 194.

Explanation: This quote is a typical explanation of what is happening in my Country, Nigeria. We have over 500 languages with over 250 ethnic groups. English is the most acceptable language used in communication in all facets of our lives, even in schools, market areas, places of worship and our homes because it is our first language from the the developed world. Do you know that, even within Nigeria, there are three recognized languages, namely, Hausa, Igbo and Yoruba. People are classified among this three based on the region of Nigeria, they are from. I am actually an Urhobo lady but because i am from the south-south region, I am called an Igbo. This is because the Hausa, Igbo and Yoruba languages were first noticed by the British during our colonization.



Stop2:
Quotation: "Every language embodies some Mathematical meanings in its sematic Structure" from page 195.

Explanation: This reminds me of how the meaning and interpretation of Mathematical symbols, expressions was used in my teaching of "set theories" in the classroom environment. symbols such as 'U' for union of two sets, "n' for intersection of two sets and { } for empty set. For example, instead of saying that, If A is set of apple, orange and Bananas and B is a set of spoon, fork and knife. Find the union and intersection of the two sets. I can say, given that A= {apple, orange, banana} B= {spoon, knife, fork}, then A U B = {apple, orange, banana, spoon, fork, knifes} which entails all the elements in A and B. while A n B = { } which means only the element common to set A and B which obviously is an empty set


Stop 3:
Quotation: “Perhaps for this reasons there is a feeling shared by many teachers and other concerned educators that learning ought to be made less dependent on language teachers of Mathematics, in particular emphasize the importance of learning through concrete operations on objects. This is a positive move. At the same time there is no point in trying to eliminate language from the process altogether"  M.A.K Halliday 1978 register, page 203

Explanation: I find this statement very interesting because language gives an avenue for a more concrete way of learning in Mathematics, for example instead teaching the two multiplication table in a recitation method, e.g. ,2 X 3 =6, I can say if two mangoes are given to three students each, how many mangoes have I given out altogether.






https://docs.google.com/presentation/d/1wt0T0dCiKgBP60AqfJYY2-SnVqvEEy7L/edit?usp=sharing&ouid=110902289334019534432&rtpof=true&...