## elements of geographic information

##### DM-23 - Fields in space and time
• Define a field in terms of properties, space, and time
• Formalize the notion of field using mathematical functions and calculus
• Recognize the influences of scale on the perception and meaning of fields
• Evaluate the field view’s description of “objects” as conceptual discretizations of continuous patterns
• Identify applications and phenomena that are not adequately modeled by the field view
• Identify examples of discrete and continuous change found in spatial, temporal, and spatio-temporal fields
• Relate the notion of field in GIS to the mathematical notions of scalar and vector fields
• Differentiate various sources of fields, such as substance properties (e.g., temperature), artificial constructs (e.g., population density), and fields of potential or influence (e.g., gravity)
##### DM-23 - Fields in space and time
• Define a field in terms of properties, space, and time
• Formalize the notion of field using mathematical functions and calculus
• Recognize the influences of scale on the perception and meaning of fields
• Evaluate the field view’s description of “objects” as conceptual discretizations of continuous patterns
• Identify applications and phenomena that are not adequately modeled by the field view
• Identify examples of discrete and continuous change found in spatial, temporal, and spatio-temporal fields
• Relate the notion of field in GIS to the mathematical notions of scalar and vector fields
• Differentiate various sources of fields, such as substance properties (e.g., temperature), artificial constructs (e.g., population density), and fields of potential or influence (e.g., gravity)
##### DM-23 - Fields in space and time
• Define a field in terms of properties, space, and time
• Formalize the notion of field using mathematical functions and calculus
• Recognize the influences of scale on the perception and meaning of fields
• Evaluate the field view’s description of “objects” as conceptual discretizations of continuous patterns
• Identify applications and phenomena that are not adequately modeled by the field view
• Identify examples of discrete and continuous change found in spatial, temporal, and spatio-temporal fields
• Relate the notion of field in GIS to the mathematical notions of scalar and vector fields
• Differentiate various sources of fields, such as substance properties (e.g., temperature), artificial constructs (e.g., population density), and fields of potential or influence (e.g., gravity)
##### DM-23 - Fields in space and time
• Define a field in terms of properties, space, and time
• Formalize the notion of field using mathematical functions and calculus
• Recognize the influences of scale on the perception and meaning of fields
• Evaluate the field view’s description of “objects” as conceptual discretizations of continuous patterns
• Identify applications and phenomena that are not adequately modeled by the field view
• Identify examples of discrete and continuous change found in spatial, temporal, and spatio-temporal fields
• Relate the notion of field in GIS to the mathematical notions of scalar and vector fields
• Differentiate various sources of fields, such as substance properties (e.g., temperature), artificial constructs (e.g., population density), and fields of potential or influence (e.g., gravity)
##### DM-23 - Fields in space and time
• Define a field in terms of properties, space, and time
• Formalize the notion of field using mathematical functions and calculus
• Recognize the influences of scale on the perception and meaning of fields
• Evaluate the field view’s description of “objects” as conceptual discretizations of continuous patterns
• Identify applications and phenomena that are not adequately modeled by the field view
• Identify examples of discrete and continuous change found in spatial, temporal, and spatio-temporal fields
• Relate the notion of field in GIS to the mathematical notions of scalar and vector fields
• Differentiate various sources of fields, such as substance properties (e.g., temperature), artificial constructs (e.g., population density), and fields of potential or influence (e.g., gravity)
##### DM-20 - Discrete entities
• Discuss the human predilection to conceptualize geographic phenomena in terms of discrete entities
• Compare and contrast differing epistemological and metaphysical viewpoints on the “reality” of geographic entities
• Identify the types of features that need to be modeled in a particular GIS application or procedure
• Identify phenomena that are difficult or impossible to conceptualize in terms of entities
• Describe the difficulties in modeling entities with ill-defined edges
• Describe the difficulties inherent in extending the “tabletop” metaphor of objects to the geographic environment
• Evaluate the effectiveness of GIS data models for representing the identity, existence, and lifespan of entities
• Justify or refute the conception of fields (e.g., temperature, density) as spatially-intensive attributes of (sometimes amorphous and anonymous) entities
• Model “gray area” phenomena, such as categorical coverages (a.k.a. discrete fields), in terms of objects
• Evaluate the influence of scale on the conceptualization of entities
• Describe the perceptual processes (e.g., edge detection) that aid cognitive objectification
• Describe particular entities in terms of space, time, and properties
##### DM-23 - Fields in space and time
• Define a field in terms of properties, space, and time
• Formalize the notion of field using mathematical functions and calculus
• Recognize the influences of scale on the perception and meaning of fields
• Evaluate the field view’s description of “objects” as conceptual discretizations of continuous patterns
• Identify applications and phenomena that are not adequately modeled by the field view
• Identify examples of discrete and continuous change found in spatial, temporal, and spatio-temporal fields
• Relate the notion of field in GIS to the mathematical notions of scalar and vector fields
• Differentiate various sources of fields, such as substance properties (e.g., temperature), artificial constructs (e.g., population density), and fields of potential or influence (e.g., gravity)
##### DM-20 - Discrete entities
• Discuss the human predilection to conceptualize geographic phenomena in terms of discrete entities
• Compare and contrast differing epistemological and metaphysical viewpoints on the “reality” of geographic entities
• Identify the types of features that need to be modeled in a particular GIS application or procedure
• Identify phenomena that are difficult or impossible to conceptualize in terms of entities
• Describe the difficulties in modeling entities with ill-defined edges
• Describe the difficulties inherent in extending the “tabletop” metaphor of objects to the geographic environment
• Evaluate the effectiveness of GIS data models for representing the identity, existence, and lifespan of entities
• Justify or refute the conception of fields (e.g., temperature, density) as spatially-intensive attributes of (sometimes amorphous and anonymous) entities
• Model “gray area” phenomena, such as categorical coverages (a.k.a. discrete fields), in terms of objects
• Evaluate the influence of scale on the conceptualization of entities
• Describe the perceptual processes (e.g., edge detection) that aid cognitive objectification
• Describe particular entities in terms of space, time, and properties
##### DM-23 - Fields in space and time
• Define a field in terms of properties, space, and time
• Formalize the notion of field using mathematical functions and calculus
• Recognize the influences of scale on the perception and meaning of fields
• Evaluate the field view’s description of “objects” as conceptual discretizations of continuous patterns
• Identify applications and phenomena that are not adequately modeled by the field view
• Identify examples of discrete and continuous change found in spatial, temporal, and spatio-temporal fields
• Relate the notion of field in GIS to the mathematical notions of scalar and vector fields
• Differentiate various sources of fields, such as substance properties (e.g., temperature), artificial constructs (e.g., population density), and fields of potential or influence (e.g., gravity)
##### DM-20 - Discrete entities
• Discuss the human predilection to conceptualize geographic phenomena in terms of discrete entities
• Compare and contrast differing epistemological and metaphysical viewpoints on the “reality” of geographic entities
• Identify the types of features that need to be modeled in a particular GIS application or procedure
• Identify phenomena that are difficult or impossible to conceptualize in terms of entities
• Describe the difficulties in modeling entities with ill-defined edges
• Describe the difficulties inherent in extending the “tabletop” metaphor of objects to the geographic environment
• Evaluate the effectiveness of GIS data models for representing the identity, existence, and lifespan of entities
• Justify or refute the conception of fields (e.g., temperature, density) as spatially-intensive attributes of (sometimes amorphous and anonymous) entities
• Model “gray area” phenomena, such as categorical coverages (a.k.a. discrete fields), in terms of objects
• Evaluate the influence of scale on the conceptualization of entities
• Describe the perceptual processes (e.g., edge detection) that aid cognitive objectification
• Describe particular entities in terms of space, time, and properties