Boldungu Team – Page 2

July 31, 2023July 31, 2023

Fostering Primary School Children Curiosity and Inquiry through Data Handling with Boldungu

All curricula for math from primary 1 have aspects of data handling. It includes activities such as counting, sorting, graphing, and analyzing information. These activities not only enhances mathematical skills but also acts as a catalyst for fostering curiosity and inquiry in young minds.

Curiosity is a powerful driving force behind a child’s natural inclination to explore, question, and learn about the world. Boldungu takes on this the responsibility to nurture this innate curiosity and encourage a thirst for knowledge. One effective way to achieve this is by creating fun and inspirational activities to enable unlimited practice.

The Power of Data: Making Learning Engaging

Data handling and math harness the abundance of information by introducing students to data collection techniques and presenting real-world scenarios. By engaging in activities like conducting surveys, recording observations, and collecting data from everyday situations, students develop an understanding of the relevance and importance of data in their lives. This boldungu investigative approach to learning makes the subject engaging and meaningful, sparking their curiosity and driving them to explore further.

Asking Questions and Seeking Answers

Data handling and math inherently encourage students to ask questions about the information they encounter. For example, when presented with data on the number of favorite colors in their class, students might wonder which color is the most popular and why. These questions lead them to explore and seek answers, promoting a sense of inquiry. Boldungu seizes these moments to empower students to find answers through experimentation, research, and analysis, cultivating their curiosity and intrinsic motivation to learn.

Connecting Concepts: The Power of Patterns

Patterns are an integral part of data handling and math. Whether it’s sorting objects based on their attributes or identifying trends in data presented on graphs, recognizing patterns fosters curiosity and cognitive development. All children naturally seek patterns in their surroundings, and data handling provides an excellent opportunity to hone this skill. As they discover patterns, students gain a sense of accomplishment and a desire to explore further, driving their curiosity to uncover more complex patterns and relationships.

Embracing Critical Thinking

Data handling and math go hand in hand with critical thinking. When interpreting data, students are encouraged to analyze and draw logical conclusions. For example, they might use data on the weather to predict the season or analyze data on their favorite fruits to determine the most popular one. This analytical thinking not only strengthens their mathematical skills but also cultivates their ability to think critically and make informed decisions based on evidence, thus encouraging a curious and inquisitive mindset.

The Joy of Discovery: Promoting a Love for Learning

As we inspire students with boldungu, students engage in data handling and math activities, they experience the joy of discovery. Whether they find surprising results in a survey, notice unexpected patterns, or draw connections between different sets of data, the thrill of exploration encourages a love for learning. By fostering this sense of curiosity and inquiry from an early age, we set the foundation for a lifelong pursuit of knowledge and a deep appreciation for the wonders of the world.

Data handling and math are powerful tools for fostering curiosity and inquiry among learners. By carefully integrating data-related activities into the boldungu, we ignite a passion for learning and encourage students to ask questions, seek answers, and explore the world around them. The joy of discovery and the empowerment of critical thinking will serve these young learners well as they continue their educational journey and embrace the wonders of mathematical knowledge.

As parents and educators, let us embrace the potential of data handling with boldungu and math to nurture curiosity, for it is through curiosity that young minds truly thrive.

July 31, 2023July 31, 2023

Primary 1 Curriculum for Uganda – Boldungu

The Boldungu primary 1 mathematics curriculum for Uganda is intended to introduce young students to fundamental mathematical ideas and foster the development of their fundamental numeracy and problem-solving abilities. For young pupils, mathematics is made entertaining and approachable through the Boldungu’s emphasis on fun and unlimited application of math in every day scenarios.

Topics Covered:

Numbers and Counting: Introducing numbers from 1 to 100, counting forwards and backward, identifying odd and even numbers, and comparing numbers (greater than, less than, equal to).
Basic Arithmetic Operations: Addition and subtraction of single-digit numbers and simple word problems using everyday situations.
Shapes and Patterns: Identifying and describing basic 2D and 3D shapes (e.g., circle, square, triangle, cube, sphere), recognizing patterns, and creating simple patterns.
Measurement: Introducing basic measurement concepts such as length (using non-standard units like hands or feet), weight (using objects), and capacity (using containers).
Time: Telling time to the hour and half-hour using both analog and digital clocks.
Money: Recognizing coins and notes, understanding their values, and basic money transactions (addition and subtraction).
Data Handling: Sorting objects based on attributes, creating and interpreting simple pictographs and bar graphs.

January 30, 2023July 20, 2023

Beneficiaries of Boldungu – Math for all on the phone

Anyone who needs to acquire math proficiency or facilitate math knowledge acquisition such as

Primary School students ( age 5 to 14 years) who want to learn math to supplement classes, for homeschooling, for personalized coaching
Parents who want additional resources to coach students in math
Teachers and tutors who want to supplement classes and conduct private coaching classes for math
Educational institutions that want to use online aids to augment class room based instruction.
Homeschooling parents who are looking for quality math education to support their children

Available for free on Google Play store

April 10, 2022July 20, 2023

Tap the wisdom of many top math teachers into the hands of your child

School and Education of our children is something we can not run away from. Math is at the center of our education system be it in national curriculum or homeschooling.

Many children are fond of their teachers especially teachers that effectively connect with the learners. Math is a special subject in that it aims to teach learners how to solve problems. Strategy is key when it comes to math. One senior math teacher told us that learners should be allowed to use multiple approaches towards correct solutions. Teachers therefore need more patient and approaches to show learners the wonderful logic behind math through which they can use different strategies.

Learners need to have fun with math to excel. In one of our design sessions working with grade 2 children, we noticed that once learner do enough practice, they begin to appreciate different strategies. One learner after using the numberline to add two numbers, he was confident to show off that his answer was correct using ‘balls’ – that is, by drawing small balls to represent each number count and then counting all the balls. But the your learner was finding fun i drawing the numberline.

It is this confidence of using multiple tricks that allows learners to see relationships between math concepts. The numberline is perhaps an easier route to show integers, fractions and other concepts. Some teachers focus on calculations and this makes children just follow steps and procedures without deeper processing of what is going on. Learns look at mathematics as a list of operations and techniques for getting the right answer. Mathematics is much more about having rules to a game, playing it, and then seeing what happens when more elements are added to the game. It is a never ending discovery of the consequences of how the rules interact with new elements.

After working with many teachers in top schools, it is obvious that they use more than one teacher for different parts of the curriculum. They have teachers that introduce new content, teachers that focus on revision and teachers that focus on assessments. Even with this deployment of resources, schools face a challenge of 100% effectiveness of all area of math to entice learners with the unlimited beauty of math.

After a series of brainstorming with top math educators, it was conceived that

What if we could collect all best strategies from various teachers and package them for learners and other teachers
What if learners could be empowered with easy access to questions that are similar to what they do in classwork
What if learners can create their own questions to check their understanding
What if learners could see their progress at more refined level just like professional athletes?

Using technology, we have packaged the wisdom of experience and energetic teachers into boldungu, which aims to make a positive difference in the learning of mathematics. With bolddugu, every learner has a chance to access a variety of math strategies and approaches.

April 10, 2022July 20, 2023

Technology is a sure way of motivating learners to excel in math

In all education systems, math as it helps learners appreciate the world. Math is also the glue to Science, Technology and Engineering (STEM). The curriculum for math emphasize problem solving among other skills

Captivating learners with math at an early age is a sure way of keeping long term interest on learners in math, science and technology. Using technology to help learners improve math scores can motivate learners to do more in math and other subjects.

Introducing boldungu to learners in the classroom is a great way to make learning fun, engaging and motivating for young learners. The game like features of boldungu make it very interesting for learners.

And the best part about starting early in grade 1 is that it helps your students to a positive attitude toward math from an early age, setting them up for a successful academic future.

This game like math technology is sure to become a fast favorite with your students. You can choose whatever skill you want to review, such as addition, subtraction, or number sequencing. Even questions that require comprehension such as pie-charts, speed and time are also covered

The beauty of boldungu is that it makes a smooth integration between fun, real life math application and classroom math for examination

January 31, 2022July 20, 2023

Turn math concepts and formula into trivial knowledge for children and improve math proficiency

Most people that comfortable with math do not realize how much practice they have invested in it. With practice many things become easier and some become kind of reflex in their actions and activities. We can aim to make math trivial for both formal education and homeschooling.

Boldungu has two modes of practice. The standard mode and trivial quiz mode.

Trivial mode helps children to stop mixing up concepts and math formulae during examinations, which accounts for an average of 30% lost marks in most standard examinations. Even after preparing candidates for examinations, learners still lose marks for several reasons, among them: –

Basic operations – Learners make errors in application of basic operations such as forgetting brackets and adding poorly leading to wrong results.
Forgetting procedures – another common error is forgetting procedures such how to add fractions with different denominators by adding numerators alone and denominators alone without using the lowest common multiple.
Forgetting or mixing up key concepts and formula – many learners are unable fluently use formula and concepts where needed. For example formula for area of a right angled triangle, or area for a circle. When a learner is unable to trivially apply such knowledge, then the learner cannot proceed to correctly answer the question.

Trivial mode focuses on the last reason for loss of marks in math. Trivial quiz mode is designed to make such facts and formulae trivial and none-confusing to the learner.

Unlike the standard mode that aims to provide variety and confidence, trivial mode targets accurate recall and use of formula and mathematics relations. Trivial mode brings together the form of reflection that seeks to eliminate ambiguity, confusion or misunderstanding.

Trivial mode focuses on simple inquiries of fact to guarantee more concrete understanding of the matter at hand. Use trivial quiz mode to remove ambiguity from math facts and formula, promote accuracy and create a smoother path to new math concepts. Trivial mode builds fluency in application of concepts, terminologies and relations.

Boldungu is available as web app here and mobile app here

October 19, 2021July 20, 2023

Turn math problem solving for primary school children into a conversation

For many people, they try disconnect the math studied at school from what they are currently doing as adults. They forget that education does not take place directly and knowledge is not used in isolation. Their ability to tell time, make good judgments on quantities be it deciding on how much sugar to add in a cup of team are all math.

Vocabulary is the body of words one can use effectively to communicate in a given language. Our research shows that learners in lower classes find difficulty in using common mathematics words such as “altogether”, “diameter”, “profit” and many others, which makes it impossible for them to workout the correct answers.

This inadequacy in mathematics vocabulary can only be addressed through regular practice by putting new words into writing and speaking so that learners continue to remember them. Learners need to see many of these words in various contexts such that they become part of their daily vocabulary. Once this happens, then solving mathematics problems will be natural similar to responding to a conversation.

Students that excel in primary mathematics have better mathematics vocabulary and technology solutions can help. Based on Google Play Store reviews, Boldungu is the best technology solution in this category. Head to Google Play store for the latest version

August 26, 2021August 26, 2021

5 (Five) Main reasons why primary school children continue to fail mathematics – Boldungu can fix some

“A Problem Well Stated is Half Solved”. These words by Charles Kettering, who was head of research at General Motors from 1920 to 1947, are still valid. Mathematics remains an uphill task for learners, teachers and countries because it has a direct impact on the economy in terms of future of work and innovations.

In Uganda, Primary Leaving Examination (PLE) released by UNEB do no lie. A few highlights

Why SST remains best done subject as Maths eludes pupils (Monitor, 2018)
More pupils get First Grade as scores for Maths, English drop (Monitor, 2020)
Primary school teachers fail Mathematics (Monitor 2018)

Here are some of the reasons from the boldungu data analytics

Inability to understand the right concept – our data shows that students struggle to understand concepts. For instance decimal number system is built on simple groups of ones, and tens. When dealing with other number systems such as binary, the grouping just changes to ones and twos. Alas, most students will apply all mechanical means to remember each number system separately and this does not scale.
Failure to understand the meaning of symbols – mathematics is about problem solving, and stating the problem using symbols is one way of making it precise. Good mastery of symbols is challenge for many learners and we have seen learners fail the same question when presented differently using different symbols
Inability to understand the root of principles – strong connection between mathematics and the learner can only be created if the underlying principle resonates with the learners. Here cost price, selling price, profit and loss are the most obvious examples. Many learners have been given the formula to get the profit, and loss but find it hard to apply the simple principle that if you buy and sell at lower value, you loose money or if you buy and sell and high price you gain. We have seen many cases where learners are just eager to add or subtract values with no regard to underlying principle. Alter the question a bit, and the formula fails to work.
Lack of fluency in using operators and procedures – Application of operators to process problems is a must have skill to excel in mathematics. For instance, reducing fractions, expanding numbers and many other concepts largely play around with operators.
Lack of comprehensive knowledge – concepts in mathematics relate to each other. We have seen situations where students think about mathematics in terms of islands. A student will fail to arrive at the final result by applying say long division because he or she thinks long division must be used only when asked to use it.

As said “A Problem Well Stated is Half Solved”, and that is how boldungu design principles came into action. Some call it a game, and others call it real mathematics. Whatever it is, our target remain the same – deal with the inherent challenges low grades in mathematics at national examinations, poor application of mathematics in real life, and long term applicability.

August 4, 2021August 4, 2021

Number sense is the secret weapon for children that excel in mathematics

Many things that we take to be obvious are a result of mental modals that we build as a result of consistent exposure. It is this lack of mental models that when a baby presented with two cakes will not be able to tell which one is bigger. This distinction becomes obvious as the baby gains more exposure. The ability to quickly see solutions based on persistence exposure to numbers and mathematics is what we call number sense. It is number sense that you use to estimate the number of people in a room without counting. It is number that engineers use to tell the distance between two points without measuring!

Most babies will not tell which piece of cake is bigger due lack of number sense

Number sense comes with experience; just like a good footballer knows where the goal is even when he is facing the opposite direction. Many patterns exist in numbers and come naturally after continuous practice. For instance, the reason why most people will quickly workout ten minus four to be six (ie 10 – 4 = 6) is because they have developed a number sense for sums of ten.

It is number sense that a shopkeeper uses to workout balances and prices at the blink of an eye. Classroom mathematics, children spend much of their time dividing, adding, multiplying and subtracting. A learner with good number sense will accurately complete these tasks in a much shorter time.

Just like the shopkeeper gains number sense for counting money quantities, it is what learners with continuous exposure to mathematics do for classroom mathematics. Multiples of numbers, factors, remainders, reciprocals, halves, squares and many more mathematics concepts can all be part of a learner’s number sense with practice.

Good number sense cannot be gained by using standard print textbooks, because a learner can easily exhaust all questions at the end of the chapter without much variability. This limitation with print textbooks is similar to that of an adult that has been exposed to limited environments. Digital learning tools are very handy in building robust number sense.

Boldungu builds number sense through well selected activities, solutions and concepts

The challenge is with digital learning tools is that they are too many, do not match the academic classroom curriculum, and are not well organised. This is what boldungu.com has focused on. To build a large variety of mathematics activities, while sticking to the age groups and national curriculum. Create fun and adventure for mathematics. Primary school mathematics is the perfect level where to develop number sense from early years.

Boldungu, might be the bridge to your child’s dreams. The mission is to improve learning of mathematics and build a generation of problem solvers.

July 2, 2021July 2, 2021

Injecting fun into probability and chance for primary school mathematics

Many events happen in a random, unpredictable nature. The study of probability for primary school children in many countries including Uganda therefore forms a basis for understating nature. Probability is applied in many disciplines including statistics, meteorology, game theory and risk analysis among others

Many learners go through this topic without understanding its core nature which limits their understanding of many other branches of mathematics including set theory, infinity series/sequences and limit, chaos theory, noise and information theory and so on.

Boldungu has taken time to build a collection of relevant questions as per the Uganda curriculum for primary school mathematics, starting from primary 3 to primary 7 as illustrated below.

Complete with solution for learners to practice and understand the concepts, boldungus is determined to build dreams for learners.

Get Boldungu form here or from the Google Play store, and let your child build confidence, improve mathematics and unlock dreams! Learn more about boldungu here. See here for what you can create, print, practice and win!