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Mathematics is hierarchical in nature and the concepts are logically structured and connected. Which of the following statements most appropriately explains this? (a) Multiplication follows and builds on the concept of addition. (b) Addition and multiplication are distinct concepts independent of each other. (c) Mathematical concepts should only be assessed through summative assessments. (d) Number sense needs to be developed before the concept of addition and subtraction. Choose the correct option.

Mathematics is hierarchical in nature and the concepts are logically structured and connected. Which of the following statements most appropriately explains this? (a) Multiplication follows and builds on the concept of addition. (b) Addition and multiplication are distinct concepts independent of each other. (c) Mathematical concepts should only be assessed through summative assessments. (d) Number sense needs to be developed before the concept of addition and subtraction. Choose the correct option. Correct Answer (a) and (d)

Mathematics is a branch of study concerned with structure, order, and relationships that arose from elemental activities of counting, measuring, and describing the shapes of objects.

Key Points

  • Nature of mathematics- The mathematical concepts are hierarchical, which means that they are built on the practical and conceptual knowledge from one class to the next, i.e. they are taught in a predetermined order such as arithmetic first, then algebra, trigonometry, and calculus.
    • Relationship between addition and multiplication- Addition is the process of combining different elements to generate a new total. Multiplication, on the other hand, is the process of using repeated addition. The addition is the precursor of multiplication and multiplication follows and builds on the concept of addition. They are interdependent.
    • Number sense is a person's ability to understand, relate and connect numbers. Children having strong number sense can think flexibly and fluently about numbers. It helps children to understand what numbers mean, improves their mental mathematics and it should be developed the concept of addition and subtraction.

Hence, we conclude that the statement that most appropriately explained this is (a) and (d).

  • Whereas it is also clear that addition and multiplication are dependent on each other and mathematical concepts should not only be accessed through summative assessment as there are many other assessment techniques like portfolios, formative assessments, etc.

Related Questions

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Read the passage carefully and select the best answer to each question out of the given four alternatives. By practicing mindfulness and other principles, we become more aware of and present to our fears and others fears, bearing witness as a way of healing andempowering. We see the spiritual path as intertwined with the path of social action, with contemplation and action parts of the same whole, each nourishing andguiding the other. Acknowledging that our well-being depends on others makes caring for others well-being a moral responsibility.
Through a “mindful citizen” exercise, we create a story articulating who we are as individuals who are also part of communities. This exercise helps us move beyond cynicism, complacency, and despair, instead infusing us with a sense of purpose. We embrace our gifts, resolving to do our part to promote a sense of common humanity as a means toward social justice.
With this exercise, I believe we can help students bridge their divides and replace anger and distrust with compassionate connections – just as I witnessed betweenShirley and Tiffany.
Shirley returned to class after a brief hiatus, keeping a cool distance from Tiffany. But over the weeks spent together they gradually came to know each other. They practiced seeing and listening, sharing stories so different that they felt bewildered as to how they could overcome the gap. But they found that acknowledging their differences led them to discover a place of deep connection in commonalities, such as being raised by grandmothers, and even wounds, including childhood trauma,that they never imagined existed.
In assessments of these classes, students say that these small groups become “healing communities,” where we overcome victimization and claim agency. Healingoccurs as we transcend an “us vs. them” mentality, crossing borders and forging connections. These communities show a way of reducing intergroup prejudice andfostering inclusion based in psychology research and pedagogical practice. How students can replace their anger and distrust?
Read the passage carefully and select the best answer to each question out of the given four alternatives. By practicing mindfulness and other principles, we become more aware of and present to our fears and others fears, bearing witness as a way of healing andempowering. We see the spiritual path as intertwined with the path of social action, with contemplation and action parts of the same whole, each nourishing andguiding the other. Acknowledging that our well-being depends on others makes caring for others well-being a moral responsibility.
Through a “mindful citizen” exercise, we create a story articulating who we are as individuals who are also part of communities. This exercise helps us move beyond cynicism, complacency, and despair, instead infusing us with a sense of purpose. We embrace our gifts, resolving to do our part to promote a sense of common humanity as a means toward social justice.
With this exercise, I believe we can help students bridge their divides and replace anger and distrust with compassionate connections – just as I witnessed betweenShirley and Tiffany.
Shirley returned to class after a brief hiatus, keeping a cool distance from Tiffany. But over the weeks spent together they gradually came to know each other. They practiced seeing and listening, sharing stories so different that they felt bewildered as to how they could overcome the gap. But they found that acknowledging their differences led them to discover a place of deep connection in commonalities, such as being raised by grandmothers, and even wounds, including childhood trauma,that they never imagined existed.
In assessments of these classes, students say that these small groups become “healing communities,” where we overcome victimization and claim agency. Healingoccurs as we transcend an “us vs. them” mentality, crossing borders and forging connections. These communities show a way of reducing intergroup prejudice andfostering inclusion based in psychology research and pedagogical practice. What was the reason behind the strong connection between Shirley and Tiffany?
Read the passage carefully and select the best answer to each question out of the given four alternatives. By practicing mindfulness and other principles, we become more aware of and present to our fears and others fears, bearing witness as a way of healing andempowering. We see the spiritual path as intertwined with the path of social action, with contemplation and action parts of the same whole, each nourishing andguiding the other. Acknowledging that our well-being depends on others makes caring for others well-being a moral responsibility.
Through a “mindful citizen” exercise, we create a story articulating who we are as individuals who are also part of communities. This exercise helps us move beyond cynicism, complacency, and despair, instead infusing us with a sense of purpose. We embrace our gifts, resolving to do our part to promote a sense of common humanity as a means toward social justice.
With this exercise, I believe we can help students bridge their divides and replace anger and distrust with compassionate connections – just as I witnessed betweenShirley and Tiffany.
Shirley returned to class after a brief hiatus, keeping a cool distance from Tiffany. But over the weeks spent together they gradually came to know each other. They practiced seeing and listening, sharing stories so different that they felt bewildered as to how they could overcome the gap. But they found that acknowledging their
differences led them to discover a place of deep connection in commonalities, such as being raised by grandmothers, and even wounds, including childhood trauma,that they never imagined existed.
In assessments of these classes, students say that these small groups become “healing communities,” where we overcome victimization and claim agency. Healingoccurs as we transcend an “us vs. them” mentality, crossing borders and forging connections. These communities show a way of reducing intergroup prejudice andfostering inclusion based in psychology research and pedagogical practice. What makes the others well-being a moral responsibility for us?
Read the passage carefully and select the best answer to each question out of the given four alternatives. By practicing mindfulness and other principles, we become more aware of and present to our fears and others fears, bearing witness as a way of healing andempowering. We see the spiritual path as intertwined with the path of social action, with contemplation and action parts of the same whole, each nourishing andguiding the other. Acknowledging that our well-being depends on others makes caring for others well-being a moral responsibility.
Through a “mindful citizen” exercise, we create a story articulating who we are as individuals who are also part of communities. This exercise helps us move beyond cynicism, complacency, and despair, instead infusing us with a sense of purpose. We embrace our gifts, resolving to do our part to promote a sense of common humanity as a means toward social justice.
With this exercise, I believe we can help students bridge their divides and replace anger and distrust with compassionate connections – just as I witnessed betweenShirley and Tiffany.
Shirley returned to class after a brief hiatus, keeping a cool distance from Tiffany. But over the weeks spent together they gradually came to know each other. They practiced seeing and listening, sharing stories so different that they felt bewildered as to how they could overcome the gap. But they found that acknowledging their differences led them to discover a place of deep connection in commonalities, such as being raised by grandmothers, and even wounds, including childhood trauma,that they never imagined existed.
In assessments of these classes, students say that these small groups become “healing communities,” where we overcome victimization and claim agency. Healingoccurs as we transcend an “us vs. them” mentality, crossing borders and forging connections. These communities show a way of reducing intergroup prejudice andfostering inclusion based in psychology research and pedagogical practice. What does the “mindful citizen” exercise help us in?