Hi there! Welcome & a big thank you for coming to my page of the Sekolah Cikal Lebak Bulus Personal Project (2022) Exhibition! My name is Naira Azra Senen, but you may simply call me by my nickname, Azra. I am 16 years old and currently in 10th grade as of now, and am an avid student schooling in Sekolah Cikal (High School) located at the Lebak Bulus site.
My interests are mostly in science (specifically biology), basketball, listening to an abundance of musical genres, playing instruments, and am a big fan of documentaries & non-fictional books! I also have recently grown a specific interest towards a field of mathematics prior to this exhibition, although I used to "despise" or rather was scared towards the maths subject to begin with, though because of this fear, I decided to tackle it with this project!
In the process of initiating the project, something clicked within me and I have just realized that problems with mathematics as an infamously hated subject, was not because of the students, but rather because of misunderstandings and traditional school curriculums being practiced from decades before, motivating me to create this project!
Want to know more? Well you can scroll further below to gain more insight regarding the process, creation, and the ultimate goal of this project! Enjoy viewing, and once again thank you for coming to this page! Hopefully you can find pleasant information, insights, and maybe even surprises from your viewing trip ;D
Ever since I was in grade school, I was always convinced that my most resented subject would be Maths. Due to the countless mandatory extra classes, anxiety-inducing tests, memorization of formulas, being detail-oriented, and more. It made myself feel unconfident and doubt myself in learning Maths, no matter how hard I tried, I couldn’t seem to grasp the subject. According to an article published by the Harvard Educational Review (HER), math anxiety may be defined as “experiencing feelings of panic and helplessness when asked to solve a mathematical task or problem.”
Math anxiety did not only lie within me as an individual but it was deemed as one of the most common academic issues both internally and externally inter-schools around the world, with the curriculum of mathematics causing it to be the source of the unrest (Personal Interview: A.S Posamentier, 2021).
As I research deeper with prior-knowledge intact from Personal & Social Education classes regarding student mentalities, as well as Individuals & Societies class with reference towards sociology in communities, it made me understood that mathematics as an academic demeanor was simply misunderstood, it was clear that fear for the subject was non-existent, rather fear of failing and making mistakes made the main drive for math anxiety.
I made it my primary goal for this project to help overcome academic anxieties of students towards mathematics and convince them to view maths in other different positive perspectives.
Not Your Normal Mathods: Hacking the "Fixed" Equation, is considered as a digital guide to fix misconceptions of mathematics in students and youths alike, convincing them to see the field in a new light! Mathematics has always been deemed infamously as the devilish subject that boggle the minds of learners around the world, labeling it to be; hard, complex, and demanding.
In this book, readers can find content relating to student challenges in mathematics and mainly a series/compilations of beneficial mathematical shortcuts (otherwise known formally as recreational mathematics) to not only find applying these tricks useful in daily life, but also uncover the beauty of mathematics unintentionally hidden by the academic world.
From using these tricks, readers can observe how mathematical relations are able to function, understand derivatives of well-known equations, and learn how maths is much more than just numbers and equations. Sometimes, all it needs to see a concept as a whole is to view it through an abnormal perspective, like a language, how we conceive our reply is what matters, like mathematics, how we interpret the equations and numbers are what matters most! Surely, this book will provide readers with many pleasant mathematical surprises, because it is quite guaranteed, that it is Not Your Normal Mathods.
SPECIFIC
Since this year’s Personal Project program was executed online, my project would have to adapt with conditions to create a easily accessible and virtually friendly product that can be connect and be accessed to reach the public easily. Seeming that the project was aimed mainly at school students, my targeted audience would accumulate congregations of middle school - high school students aged from 11 till 18 years old.
MEASURABLE
When designing the difficulty of the project, one of the most important factors that I need to consider is how trackable and manageable the project is. There are an abundance of methods that may be used to track my progress in this project, but the two main progress trackers would undoubtedly be the Personal Project timelines and my own personal process journal that I have created in a separate document to record the progress of the project paired with pointers of evaluation in reference to supervisor and parental comments, from the proposal presentation up till the public marketing of the product.
ACHIEVABLE
The project is demanding due to 3 conditions which are; requiring an in-depth & long-term investigation, learning new concepts in mathematics, and finding valid/professional interviewees to validate content of the product. After certain measurements, this project is deemed attainable with perseverance, commitment, confidence and prevalent attentiveness in doing my project. In my own thought, I believe that the product of this project would not be hard to make and is not too ambitious, though the investigation would take the most time out of this project. All of the project’s bases and premises still fit in the academic time frame, due to its simplicity of product and concept.
REALISTIC
Both this personal project and goal(s) are indubitably as well as utterly important for not only my personal and or/ academic development, but this goal could also potentially increase interests and open minds of other young minds who had the same perspectives of maths as me prior to the project. Ultimately, my product is to create a published and publicly accessed digital guidebook that hopefully will be shared to an extensive number of academic communities around the local, national, and potentially global audience. Since mathematics is known to be a subject that many students dislike in terms of its learning process as well as content-wise itself, through this project it has the potential to change the perception and or/ perspectives of mathematics itself further growing its readers’ interest and academic development.
TIME-BOUND
This project would have a high possibility to take much time and effort in researching and creation for the final product. However, it is kept in mind that this project is all fixed to one goal which is to create an educational (digital) guidebook for a number of students to read and learn from. This goal will be reached after I have published my publicly accessible ebook catered to school students of any grade, and have received feedback from the readers/audience. To keep track of my progress and punctuality in doing the project, my deadlines will be personalized in my own project timeline in reference to the time and schedules given in the general personal project timeline provided by teachers & supervisors.
There was one particular field of mathematics that came to be my personal favorite, recreational mathematics, otherwise known as math hacks/tricks. It is a territory often unrecognized by the general group of academic learners, not taught but used as entertainment (recreation) in remedies such as; magic, online videos, and mathematical shortcut series. Albeit the field was not taken as seriously as others in the world of mathematics, it still resonates as the most, personally, fascinating. According to a primary interview with mathematical expert Mr. Abhishek V.R, recreational mathematics can be defined as; simplifications of basic mathematical operations or compelling mathematical proofs created for a specific purpose.
It came to my realization that this was what changed my view, and this was what introduced me into a whole new world of mathematics eagerly waiting to be explored, sharing this insight was a prevalent find and using recreational maths as a solution to raise self-efficacy came up to be concrete and realistic, thus creating my product!
Communication Skills
Expert Interviews, gaining feedbacks from the community around me, and learn to become more open-minded towards others opinions.
Critical-Thinking Skills
Solving & decoding various math hacks/tricks, writing and revising final products, and managing contents as well as schedules for project and final product.
Research Skills
Engaging in deep-dive research, improve my ability to search for valid sources, journals, as well as viable facts/informations in general.
To achieve the learning goal, it is confirmed that large effort for this project is needed and is furthermore directed towards research and investigation phase to achieve and prepare the best product produced.
From vicariously pursuing & interviewing experts or professors in distinction to different countries (outside of Indonesia), reading countless educational journals, until spending a myriad of hours and weeks for learning new concepts as well as techniques pioneered by creative mathematicians around the world, it proved that my research skills in uncovering the unintentionally hidden universe of mathematics verified to be useful for providing function towards creating content (for the product), building concrete/supported statements in proofing mathematical relationships (through recreational mathematics) as well as sharing ideas surrounding math anxiety and raising awareness towards the importance of math self-efficacy, overall providing a backbone for this project to be heavily based on.
Formulating general research and compulsory questions (answered through primary & secondary sources) immensely helped and guide me in finding answers/paths towards what needs to be highlighted when discussing about relationships of math self-efficacy and recreational mathematics.
Research Question(s)
What causes math anxiety?
Why is this issue (math anxiety) prevalent?
How does math tricks/hacks work?
How is it deciphered?
Compulsory Questions (for research & interview)
What are your thoughts on the origins of Math Hacks/Math Tricks/Recreational Maths? Where do you think they come from?
How are they created? What are the principles of creating one?
What goes into deciphering or creating a math hack/math trick?
In your opinion, do you think math hack/math tricks are important to learn in this generation, or perhaps important for future generations?
Mathematics has been infamously known as one of the most disliked subjects in school, why do you think this occured?
What are your thoughts on the current curriculums for maths in school (in general)? Is it sufficient for students? If yes, why so? If no, why so, and what methods/ways do you think would become an ideal maths curriculum in academic environments?
Does learning math tricks/hacks give benefits to the people who learn it? If so, what are the benefits?
What are your thoughts on math tricks/math hacks being rarely mentioned in school but so well-known outside of academic environments?
Mr. Alfred T. Benjamin (USA)
Arthur T. Benjamin is an American mathematician who specializes in combinatorics. Since 1989 he has been a professor of mathematics at Harvey Mudd College, where he is the Smallwood Family Professor of Mathematics.
He is known for mental math capabilities and "Mathemagics" performances in front of live audiences. He has been featured in various TED-Ed talks and have written an extensive amount of innovative books in relation towards recreational & conventional mathematics.
Mr. Alfred S. Posamentier (USA)
Dr. Alfred S. Posamentier is currently Chief Liaison for International Academic Affairs at Long Island University, New York, and was former Distinguished Lecturer at New York City College of Technology of the City University of New York.
He is Professor Emeritus of Mathematics Education at The City College of the City University of New York, and former Dean of the School of Education, where he was for 40 years (1970-2010).
He is the author and co-author of more than 60 mathematics books for teachers, secondary and elementary school students, and the general readership.
Dr. Posamentier is also a frequent commentator in newspapers and journals on topics relating to education. He has also won many achievements and awards relating to his own studies and books.
Mr. Abhishek V.R (India)
Mr. Abhishek first did his Mechanical Engineering in India and then went on to do his MSc degree in Business Analytics & Consulting from Warwick Business School in the UK. He now works in India. He loves programming, writing and teaching.
Mr. Abhishek creates content in his website Ofpad.com with the aim of sharing and creating an impact of learning mathematics with the world. You can learn more about the author and his work by visiting Ofpad.com!
Mr. Praveen Tyagi (India)
After 20 years of leading students to elite institution, Mr Praveen Tyagi is now working towards strengthening the pillars of education in India with STEPapp (Student Talent Enhancement Program), a revolutionary ed-tech application that aims to make learning fun and easy through gamification of math and science concepts, and bring quality education (developed by a team of 400+ IITians and doctors) to the every child through the use of technology.
Mr. Tyagi is the CEO & Founder of EduIsFun technologies, a platform developed STEP (Student Talent Enhancement Program) App, a revolutionary ed-tech application with gamified learning, in relation to learning CBSE and ICSE curriculums in India.
I chose to start off my investigation by firstly interviewing experts and/ or otherwise professors in the field of mathematics. Initially, I planned to interview Indonesian professors & mathematicians alike, but it resulted in no replies and elongated schedules.
Ultimately, I put much of my communications skills to use and decided to contact experts in the field from outside of Indonesia through emailed interviews elaborating on my passion for the project and what this project may come to be for when it is completed. It became a success in gathering information as I was able to grasp 4 renowned interviewees from countries such as America; Mr. Alfred S. Posamentier and Mr. Alfred Benjamin & India; Mr. Abhishek V.R and Mr. Praveen Tyagi to help source for my project.
After gaining much needed in-depth knowledge about the little known world of recreational mathematics along with some notable information regarding the rise of math anxiety, I started to further engage my research skills on the phase of my deep-dive investigation through learning new concepts in recreational mathematics with sources including an extensive amount of digital & physical books, journals, and over 100+ YouTube videos relating to compilations/tutorials of tricks.
To keep this gargantuan amount of information and countless though useful tricks all in one place, I dedicated a 4-chapter notebook to write, elaborate, practice, and create examples in relation to the math hacks/tricks, (as seen on the pictures below) further preparing content of the project, reaffirming my goal to not only state, however deeply understand the universe of recreational mathematics.
Product: Digital Guidebook
The digital guidebook withholds contents relating to different math hacks/tricks that are tailored and written for ages 11 and up. It consists of 3 - 4 chapters explaining and compiling a series of the wonders of what maths has to offer, especially regarding its favorable side of math hacks and tricks suitable for anyone who knows basic maths. The guidebook has a total of 218 pages including the cover, and teaches fundamental math topics including; arithmetics, algebra, geometry, and daily life maths to which can be applied realistically in your everyday activities! (For a more detailed explanation, scroll up to the section of "My Project: NYNM")
In creating the final project product, I put most of my skills in critical thinking to create content, design, and promote every idea and knowledge built and/ or prevalently portrayed in the final digital guidebook (ebook). Of course, time management was a importantly ubiquitous skill, though it proved to not be deemed necessary as (at the time) I was already approaching my project report deadline as if time was accelerated 5x its usual pace. I could no longer have the time create, arrange, nor follow timelines/schedules deeming my time management skills to be nonfunctional for this case.
Consequently, I resorted to my critical thinking skills to solve this issue against time and came up with a multifarious amount of methods as well as plans to finish this project with sufficient time to spare for writing the report. Essentially in creating the product, I started with drafting the content recorded based from the investigation phase of this project, firstly by outlining chapters, then continuing with creating descriptions for each chosen trick (that are found to be most useful in applications towards daily life) along with designing trick illustrations (accordance with creating descriptions of content) using the Canva platform, in order for the readers to understand quite clearly what the descriptions provided are trying to convey.
In the process of editing and designing the concept of how the digital guidebook would look, I had to speedily search for concepts appealing enough for readers to catch their attention with the cover of the book, often quoted as one of the “leaving impression” of books in general. Since I was targeting students from middle till high school, it would be fitting to follow the trend of an 8-bit concept filled with primary colors to help gain focus and interest whilst reading for students to easily follow the contents of the book.
Revision in drafting towards creating the final draft of the book was fairly quick in gaining feedback from supervisors and teachers, thankfully providing enough time to promote the product towards an array of students and parents alike, to further share the guidebook with their friends and family.
Throughout the tedious investigation phase and swift product creation process of this whole project, overall I did a sufficient job of completing the project and sharing my knowledge gained throughout the process towards the local as well as general public . I am proud to say that my investigation phase was what I put most pride in, as it provided to be the whole backbone of the goal and project. Though the product creation was predominantly rushed, I was able to develop and eventually impress myself on how I was able to finish the product swiftly with satisfying quality, mainly with my critical thinking skills, though it did provide many casualties in revising the final draft and re-promote the product again due to a missed mistake seen in the draft.
Moreover, I am slightly disappointed in the fact that I was not to publish my book at an official publication company or site. Initially, I tried self-publishing on Amazon and Smash Words platforms, but the attempt spiraled to a chaos of disaster in the form of the book, regulations, and technical errors, making it hard to read and comprehend for the potential audience. I realized to myself that I could have made the product formally official by publishing at a local bookstore/publishing house if I had more time to finish the draft earlier. This mishap provided me with immense reflection and contemplation, mentally carving down that if I were to write another book or create another project, time is an undeniably important factor in making the project the best it can be.
Furthermore, though I was not able to publish my product to a larger global audience, I was given the chance to promote and submit my product (with the recommendation of my school) towards the KGB (Keguruan Besar), which is a large organization of academic professors in Jakarta. All in all, the project went fairly smoothly with a few bumps in terms its investigation and creation process, although there were a copious amount of activities hindering the project and its commitment, I was able to learn new meaningful skills, gain knowledge, build open-minded values, as well as be able to ultimately impress myself; that I was able to write 218 page ebook in the first place, about a subject that I was initially afraid of.
This project has taught me new values and concepts that, if it were not for this project, I have never had the opportunity to understand and learn before. The project has immensely helped me in improving my critical thinking skills, and quite straightforwardly improved my mental and comprehensive math skills and self-efficacy for the subject by large means.
It helped shaped me into a more knowledgeable student, and hone my skills of becoming more open-minded, tolerant, critical, and committed in deciphering mathematical concepts or develop into a student who is not “quick-to-assume” in learning subjects new to my scope of knowledge.
After receiving and reviewing much of the feedback from the public domain, the project has proved to be quite successful in changing perspectives towards mathematics as well as raising interest towards the subject of mathematics as an academic passion.
The majority (more than 60%) of the readers experienced that the guidebook was able to create an impact (as shown below on the pie graphs/project form results) on their perspective of mathematics as a subject and stem a new and potential interest that could further grow inside of them.
After gaining much meaningful experiences and beneficial skills, throughout this project, it really did teach me a lot in terms of every academic or personal aspects. It tested much of my abilities to be able to finish tasks, engage in professional activities, and try out a lot of new things that I have never done before; such as writing a book, let alone, a guidebook for countless students to learn from about a subject that I used to quote on quote "despise" or really was just afraid of. This project inspired me to try out more new things in life and (probably) start out new projects in the coming timespan, who knows? Hopefully there will be a great continuation stemming from this project, and I can't wait to face it! :D
Feel free to give me any comments or feedbacks regarding my project! It would be of great help and I would love to know what you think about NYNM :D