Early Counting and Grouping 3 Recognise a numeral when seeing its numeral Resources: numeral cards, pencil, paper EXPLICIT LEARNING What could we do? Focuses children’s Children think about, talk and listen to a friend about, then have thoughts on the opportunity to share what they already know. the concept, exposing current understanding and any misconceptions As children count to 10, record the numbers on the board, for example, 1 2 3 4 5 6 7 8 9 10 Reviews the As children count backwards, point to each number forward and Each time children count forwards, having them immediately backward count backwards develops their understanding that the sequence of sequence is the same, just reversed, and ensures their capacity numbers to count backwards is as well-developed as their capacity to count forwards. Website: http://www.alearningplace.com.au Email: [email protected] Twitter: @learn4teach What language could we use to explain and ask questions? Today we’re going to investigate numbers. What do you already know about numbers? Talk to a friend about numbers. Is anybody ready to share what they are thinking about numbers? Let’s count forwards from one to ten – 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 Let’s count backwards from ten – 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 When we count, what do we say? Do we say numbers when we count? When we count forwards and backwards, do we say the same numbers? What are these symbols I've recorded here? Are these symbols, numbers? YouTube: A Learning Place A Teaching Place Scan the QR Code Facebook: A Learning Place 1 Display the numeral cards 1 to 5, in random order, for example, Introduces the Point to the numeral 1. numeral 1 from sight Children describe the numeral 1 Children describe the numeral 1 to a friend. Introduces the numeral 3 from Point to the numeral 3. sight Children describe the numeral 3 Children describe the numeral 3 to a friend. Introduces the numeral 2 from Point to the numeral 2. sight Children describe the numeral 2 Children describe the numeral 2 to a friend. Let's investigate these numbers What number is this? How do you know? What does 1 look like? Describe number 1 to a friend. What number is this? How do you know? What does 3 look like? Describe number 3 to a friend What number is this? How do you know? What does 2 look like? Describe number 2 to a friend. Continue with other numerals Children move to Guided and Independent Investigation now to investigate the concept at increasing levels of understanding over many learning sessions Website: http://www.alearningplace.com.au Email: [email protected] Twitter: @learn4teach YouTube: A Learning Place A Teaching Place Scan the QR Code Facebook: A Learning Place 2 GUIDED INVESTIGATION Resources: numeral cards, pencil, paper What could we do? Children: 1. count forwards as guided by the teacher 2. count backwards as guided by the teacher 3. name a number when its numeral is pointed to by the teacher 4. describe the numeral to a friend What language could we use to ask questions and explain? How could we count forwards? How could we count backwards? What number is this? How do you know? How could you describe this number? INDEPENDENT INVESTIGATION What could we do? Children: 1. sit in pairs 2. count forwards 3. count backwards 4. watch their friend point to a numeral card 5. name the number 6. explain how they know what number it is 7. describe the numeral to a friend REFLECTION What language could we use to explain? I counted forwards … I counted backwards … What number is this? What questions could children discuss and record a response to? When we count, what do we say? How could you describe number …? I know this is number … because … I could describe number … Children may be investigating concepts at a level that varies from other children. In one class, there may be children investigating the concept at Level 1 while another child is investigating the concept at Level 4, Level 12 or even higher. Regardless of the child's current grade, children need to investigate concepts at the level of their current understanding. This means that a child in a given grade, who has current understanding at Level 5, will investigate at Level 6, then Level 7 etc. If this makes you worried that they are investigating at a level much lower than their grade level, consider this: If the child is made to try to investigate at a higher level than their current level of understanding, they will be building on an unstable knowledge base with gaps, and will continue to use inefficient strategies often based on misconceptions, guaranteeing that their level of understanding will be the same at the end of the year as it was at the beginning of the year. If the child is allowed to investigate the concept at their current level of understanding, they will correct misconceptions, fill gaps in their understanding and build a firm knowledge base, as they move through the levels, investigating at a higher level by the end of the year. Website: http://www.alearningplace.com.au Email: [email protected] Twitter: @learn4teach YouTube: A Learning Place A Teaching Place Scan the QR Code Facebook: A Learning Place 3 CONGRUENT LEARNING EARLY COUNTING AND GROUPING 3 RECOGNISE A NUMBER WHEN SEEING ITS NUMERAL These learning activities allow children to investigate and explain the concept in new and varied situations. ‘Doing’ mathematics is simply not enough and is not a good indicator of understanding. As Einstein said, ‘If you can’t explain it simply, you don’t understand it’! Investigation takes time as children develop both the capacity and meta-language to explain mathematical concepts at their current level of understanding. Differentiate learning for children working at all levels of the concept, including those requiring extension, and allow children to differentiate their own learning, by varying the range and size of numbers investigated. In pairs, each child has a range of numeral cards according to their current level of understanding. For example, a child who recognises and can record only the number 1, has the numeral cards 1 and 2 only. A child who recognises and can record the numbers 1, 2, 3, and 4, has the numeral cards 1, 2, 3, 4 and 5. Their friend points to a numeral. The child names the number, explaining how they know that it is that number. The child describes the number. NB: Giving children the numbers that they are comfortable with, plus the next number, allows them to independently investigate the numbers. This is because they know all but one of their numbers, so developing understanding of the new number. In this way, regardless of their current level of understanding, EVERY child can investigate independently. As the child demonstrates understanding of their current range of numbers, they ‘level up’ by being given the next number. In small groups, children have a range of numeral cards. One child points to a numeral card. Children take turns to name the number, explaining how they knew what number it was and describing the numeral. As the child demonstrates understanding of their current range of numbers, they ‘level up’ by being given the next number. In pairs, each child has a range of numeral cards according to their current level of understanding. For example, a child who recognises and can record only the number 1, has the numeral cards 1 and 2 only. A child who recognises and can record the numbers 1, 2, 3, and 4, has the numeral cards 1, 2, 3, 4 and 5. Children take in turns to select a numeral card and tell their friend what number it is, how they know, and describe the numeral to their friend. As the child demonstrates understanding of their current range of numbers, they ‘level up’ by being given the next number. In pairs, each child has a range of numeral cards according to their current level of understanding. They place their numeral cards in order, recording each number. Children complete dot-to-dot pictures (available on the Internet), using numbers that are within their current range. In pairs, each child has a range of numeral cards according to their current level of understanding. They peg their numeral cards in order on a clothes line. They name each number in order. Read, and allow children to look at / read counting books. See list ‘101 Counting Books’ Website: http://www.alearningplace.com.au Email: [email protected] Twitter: @learn4teach YouTube: A Learning Place A Teaching Place Scan the QR Code Facebook: A Learning Place 4 Numerals 0 – 10 (back) 0 l 2 3 4 5 6 7 8 Website: http://www.alearningplace.com.au Email: [email protected] Twitter: @learn4teach 10 YouTube: A Learning Place A Teaching Place Scan the QR Code Facebook: A Learning Place 5
© Copyright 2026 Paperzz