Task 11. "If two of your friends each gave you four marbles, how many marbles would you have altogether from them?" The prompt here was, "You may let the blocks stand for marbles, if you wish."
Task 12. "If three cats each have five kittens, how many kittens will there be altogether?" The prompt here was, "You may let the blocks stand for kittens, if you wish."
On Task 11 the most frequent incorrect response given using units was "six." This might indicate a switch in counting, from counting objects to counting groups (e.g., four marbles from one friend and two friend total six). When queried as to how the answer eight was obtained without using the units, 14 children indicated they "saw" four and four again and joined them.
On Task 12, nineteen children answered "ten," some even when using the units. The interviewer did not ask why the answer "ten" was given. Such a response might indicate some confusion between "two" and "three." Menninger (1970) has developed an explanation that might account for such confusion. Another four children responded "eight," two of these even after grouping the units into three piles of five. One reason for this might be a counting of the kittens in one group and then the cats for a total of eight. Ten children set aside three units to represent the cats, then placed five units by each to represent the kittens, but given as the counted a total of eighteen kittens (or cats and kittens, but given as the required kittens). One child grouped two five and then added on three cats for thirteen. One boy, after grouping the three fives, said "That's five, ten, and fifteen. I should have counted that!"
งาน 11 "ถ้าสองของเพื่อนแต่ละให้คุณลูกหิน 4 จำนวนลูกหินจะมีทั้งหมดจากพวกเขาไหม" พร้อมท์ที่นี่ถูก "คุณอาจปล่อยให้บล็อกที่ยืนสำหรับหินอ่อน หากคุณต้องการ"งาน 12 "ถ้าลูกแมวห้าสามแมว ลูกแมวกี่จะมีทั้งหมด" พร้อมท์ที่นี่ถูก "คุณอาจปล่อยให้บล็อกที่ยืนสำหรับลูกแมว หากคุณต้องการ"11 งาน บ่อยไม่ถูกต้องตอบสนองให้ใช้หน่วยเป็น "6 " นี้อาจบ่งชี้ในการตรวจนับ จากการตรวจนับวัตถุการนับกลุ่ม (เช่น สี่ลูกหินหนึ่งเพื่อนและรวมเพื่อนสองหก) เมื่อสอบถามไปว่าคำตอบที่ 8 กล่าวโดยหน่วย เด็ก 14 ระบุว่า "เห็น" สี่และสี่อีกครั้ง และเข้าร่วมพวกเขาOn Task 12, nineteen children answered "ten," some even when using the units. The interviewer did not ask why the answer "ten" was given. Such a response might indicate some confusion between "two" and "three." Menninger (1970) has developed an explanation that might account for such confusion. Another four children responded "eight," two of these even after grouping the units into three piles of five. One reason for this might be a counting of the kittens in one group and then the cats for a total of eight. Ten children set aside three units to represent the cats, then placed five units by each to represent the kittens, but given as the counted a total of eighteen kittens (or cats and kittens, but given as the required kittens). One child grouped two five and then added on three cats for thirteen. One boy, after grouping the three fives, said "That's five, ten, and fifteen. I should have counted that!"
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